CBSE Class 4 Maths Fractions And Time Worksheet

Fill in the blanks:

Question 1. Fractions that have the same denominators are called ___________________________
Answer: like fractions
In simple words: Fractions with identical bottom numbers are like fractions.

Exam Tip: Always check the denominators to determine if fractions are like or unlike.

Question 2. Fractions that name the same part are called __________________________________
Answer: equivalent fractions
In simple words: Fractions that represent equal values are equivalent fractions.

Exam Tip: Multiply or divide the numerator and denominator by the same non-zero number to find equivalent fractions.

Question 3. In a leap year there are _______________________ days.
Answer: 366
In simple words: A leap year has one extra day in February, making 366 days in total.

Exam Tip: A normal year has 365 days, whereas a leap year occurs every 4 years and has 366 days.

Question 4. When we combine a whole number with a fraction , we get a _______________number.
Answer: mixed
In simple words: A combination of a whole number and a proper fraction forms a mixed number.

Exam Tip: Example of a mixed number is \(1 \frac{1}{2}\).

Question 5. 3 hours before midnight ________________.
Answer: 9:00 p.m.
In simple words: Midnight is 12:00 midnight. Counting 3 hours backward gives 9:00 p.m.

Exam Tip: Midnight marks the start of a new day at 12:00 a.m.

Question 6. 30 minutes after 6:00 p.m.__________________.
Answer: 6:30 p.m.
In simple words: Adding 30 minutes to 6:00 p.m. gives half past six.

Question 7. 1 hour after 11:00 a.m. __________________.
Answer: 12:00 noon
In simple words: Moving 1 hour forward from 11:00 a.m. reaches 12:00 noon.

Exam Tip: 12:00 noon marks the transition from a.m. to p.m.

Question 8. \(\frac{1}{3} = \frac{2}{6} = \frac{\Box}{12}\)
Answer: 4
Since \(\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12}\), the missing numerator is 4.
In simple words: Multiply both numerator and denominator by 4 to get the denominator 12.

Exam Tip: Whatever you multiply the denominator by, you must multiply the numerator by the exact same number.

Write True or False:

Question 1. \(\frac{3}{5}, \frac{4}{5}, \frac{2}{5}\) are unlike fractions
Answer: False
In simple words: They all have the same denominator 5, so they are like fractions.

Exam Tip: Fractions with the same denominators are like fractions, not unlike.

Question 2. 5:00 a.m. is daylight
Answer: False
In simple words: 5:00 a.m. is early morning and usually before sunrise.

Exam Tip: Daylight hours generally start after sunrise around 6:00 a.m. or later depending on the season.

Question 3. The sun set at 6:00 p.m. yesterday
Answer: True
In simple words: Sunset typically occurs in the evening around 6:00 p.m.

Exam Tip: Sunset times vary throughout the year, but 6:00 p.m. is a standard general timeframe.

Question 4. \(\frac{15}{7}\) is a proper fraction.
Answer: False
In simple words: The numerator 15 is greater than the denominator 7, making it an improper fraction.

Exam Tip: A proper fraction always has a numerator smaller than its denominator.

Question 5. Amana ate dinner at 9:00 a.m.
Answer: False
In simple words: Dinner is eaten in the evening or night, which is p.m., not a.m.

Exam Tip: a.m. stands for morning hours and p.m. stands for afternoon and evening hours.

Question 6. \(\frac{4}{4}\) is a proper fraction.
Answer: False
In simple words: When the numerator is equal to or greater than the denominator, it is an improper fraction equal to 1.

Exam Tip: Proper fractions are strictly less than 1.

Convert the following into mixed numbers:

Question a) \(\frac{14}{9}\)
Answer: \(1\frac{5}{9}\)
Divide 14 by 9: \(14 \div 9 = 1\) quotient with a remainder of 5.
So, \(\frac{14}{9} = 1\frac{5}{9}\).
In simple words: Divide the top number by the bottom number to get the whole number and the remainder goes on top.

Exam Tip: The denominator of the fraction part remains the same as the original denominator.

Question b) \(\frac{13}{7}\)
Answer: \(1\frac{6}{7}\)
Divide 13 by 7: \(13 \div 7 = 1\) quotient with a remainder of 6.
So, \(\frac{13}{7} = 1\frac{6}{7}\).
In simple words: 13 divided by 7 gives 1 whole with 6 left over.

Exam Tip: Double check by converting back: \((1 \times 7) + 6 = 13\).

Question c) \(\frac{22}{10}\)
Answer: \(2\frac{2}{10}\) (or \(2\frac{1}{5}\))
Divide 22 by 10: \(22 \div 10 = 2\) quotient with a remainder of 2.
So, \(\frac{22}{10} = 2\frac{2}{10} = 2\frac{1}{5}\).
In simple words: 22 divided by 10 gives 2 whole parts and 2 parts remaining out of 10.

Exam Tip: Always reduce the fraction part to its simplest form if possible.

Convert these mixed numbers into improper fraction:

Question a) \(1\frac{3}{5}\)
Answer: \(\frac{8}{5}\)
\(= \frac{(1 \times 5) + 3}{5}\)
\(= \frac{5 + 3}{5} = \frac{8}{5}\)
In simple words: Multiply the whole number by the denominator and add the numerator.

Exam Tip: Keep the denominator unchanged in the resulting improper fraction.

Question b) \(7\frac{2}{3}\)
Answer: \(\frac{23}{3}\)
\(= \frac{(7 \times 3) + 2}{3}\)
\(= \frac{21 + 2}{3} = \frac{23}{3}\)
In simple words: Multiply 7 by 3 to get 21, then add 2 to get 23.

Exam Tip: Follow the formula: \(\frac{(\text{Whole} \times \text{Denominator}) + \text{Numerator}}{\text{Denominator}}\).

Question c) \(3\frac{3}{8}\)
Answer: \(\frac{27}{8}\)
\(= \frac{(3 \times 8) + 3}{8}\)
\(= \frac{24 + 3}{8} = \frac{27}{8}\)
In simple words: Multiply 3 by 8 and add 3.

Question a) \(\frac{3}{8} + \frac{1}{8}\)
Answer: \(\frac{4}{8}\) (or \(\frac{1}{2}\))
\(= \frac{3 + 1}{8} = \frac{4}{8} = \frac{1}{2}\)
In simple words: Since denominators are the same, add the numerators directly.

Exam Tip: Always reduce your final fraction to its simplest form.

Question b) \(\frac{4}{5} + \frac{3}{5}\)
Answer: \(\frac{7}{5}\) (or \(1\frac{2}{5}\))
\(= \frac{4 + 3}{5} = \frac{7}{5} = 1\frac{2}{5}\)
In simple words: Add the numerators 4 and 3 over the common denominator 5.

Exam Tip: Improper fraction answers can be left as improper fractions or converted to mixed numbers unless specified.

Question c) \(\frac{5}{6} + \frac{1}{6}\)
Answer: \(\frac{6}{6}\) (or \(1\))
\(= \frac{5 + 1}{6} = \frac{6}{6} = 1\)
In simple words: Any fraction with the same numerator and non-zero denominator equals 1.

Exam Tip: State \(\frac{6}{6} = 1\) to show complete simplification.

Colour to show equivalent fractions

Question a) Colour to show equivalent fractions
Answer: For shape (a), shade 2 out of 4 parts (or 4 out of 8 parts) to show equivalent fractions like \(\frac{1}{2} = \frac{2}{4}\).
In simple words: Shade the required proportional sections of the given geometric figure.

Exam Tip: Equivalent fractions represent the same shaded area of a whole shape.

Question b) Colour to show equivalent fractions
Answer: For circle (b), shade 4 parts out of 8 parts to represent \(\frac{1}{2}\) or equivalent fractions.
In simple words: Shade half of the sectors in the circle.

Exam Tip: Make sure equal portions are shaded relative to the total number of parts.

Find the fraction:

Question 1. \(\frac{1}{4}\) of a dozen
Answer: 3
1 dozen = 12
\(\frac{1}{4} \text{ of } 12 = \frac{12}{4} = 3\)
In simple words: Divide 12 by 4 since a dozen equals 12 items.

Exam Tip: Remember standard units: 1 dozen = 12 units, 1 litre = 1000 millilitres, 1 hour = 60 minutes, 1 day = 24 hours.

Question 2. \(\frac{1}{8}\) of 1 litre ( in millilitre)
Answer: 125 millilitres
1 litre = 1000 millilitres
\(\frac{1}{8} \text{ of } 1000 \text{ ml} = \frac{1000}{8} = 125 \text{ ml}\)
In simple words: Convert 1 litre to 1000 ml and divide by 8.

Question 3. \(\frac{1}{5}\) of an hour (in minutes)
Answer: 12 minutes
1 hour = 60 minutes
\(\frac{1}{5} \text{ of } 60 \text{ minutes} = \frac{60}{5} = 12 \text{ minutes}\)
In simple words: Divide 60 minutes by 5.

Exam Tip: 60 divided by 5 is a standard division fact equal to 12.

Question 4. \(\frac{1}{6}\) of a day (in hours)
Answer: 4 hours
1 day = 24 hours
\(\frac{1}{6} \text{ of } 24 \text{ hours} = \frac{24}{6} = 4 \text{ hours}\)
In simple words: Divide the 24 hours in a day by 6.

Exam Tip: 24 divided by 6 gives 4.

Solve the following:

Question 1. Sara’s mother made a Christmas cake. Sara ate \(\frac{5}{16}\) of the cake, and her brother ate \(\frac{8}{16}\) of the cake. Who ate more and how much?
Answer: Brother ate more by \(\frac{3}{16}\) of the cake.
Sara's share = \(\frac{5}{16}\)
Brother's share = \(\frac{8}{16}\)
Since \(8 > 5\), the brother ate more.
Difference = \(\frac{8}{16} - \frac{5}{16} = \frac{3}{16}\)
In simple words: Compare the numerators since denominators are equal, then subtract to find the difference.

Exam Tip: State clearly who ate more before showing the subtraction step.

Question 2. The Maths quiz was 2 hours 10 minutes long. It started at 8:05 a.m. At what time it got over?
Answer: 10:15 a.m.
Start time = 8:05 a.m.
Duration = 2 hours 10 minutes
Adding hours: 8:05 a.m. + 2 hours = 10:05 a.m.
Adding minutes: 10:05 a.m. + 10 minutes = 10:15 a.m.
In simple words: Add 2 hours to 8:05 to get 10:05, then add 10 minutes to get 10:15.

Exam Tip: Always add hours to hours and minutes to minutes separately.

Question 3. To make soup Hana took \(\frac{2}{8}\) of milk and \(\frac{5}{8}\) of water. How much quantity she used in all?
Answer: \(\frac{7}{8}\)
Milk used = \(\frac{2}{8}\)
Water used = \(\frac{5}{8}\)
Total quantity used = \(\frac{2}{8} + \frac{5}{8} = \frac{2 + 5}{8} = \frac{7}{8}\)
In simple words: Combine both fractions by adding their numerators because the denominators are the same.

Exam Phrase: "In all" or "altogether" indicates that you need to perform addition.

Fill in the blanks:

1. Fractions that have the same denominators are called ___________________________

2. Fractions that name the same part are called __________________________________

3. In a leap year there are _______________________ days.

4. When we combine a whole number with a fraction , we get a _______________number.

5. 3 hours before midnight ________________.

6. 30 minutes after 6:00 p.m.__________________.

7. 1 hour after 11:00 a.m. __________________.

8.  1/3 = 2/6 = /12

Write True or False:

1. 3/5, 4/5, 2/5 are unlike fractions ( )

2. 5:00 a.m. is daylight ( )

3. The sun set at 6:00 p.m. yesterday ( )

4. 15/7 is a proper fraction. ( )

5. Amana ate dinner at 9:00 a.m. ( )

6. 4/4 is a proper fraction. ( )

Convert the following into mixed numbers:
a) 14/9 =
b) 13/7 =
c) 22/10 = 

Convert these mixed numbers into improper fraction:
a) 1(3/5) =
b) 7(2/8) =
c) 3(1/8) =

Solve the following:
a) 3/8+ 1/8 =
b) 4/5 + 3/5 =
c) 5/6 + 1/6 =

Colour to show equivalent fractions

Find the fraction:

1. 1/4 of a dozen

2. 1/8 of 1 litre ( in millilitre)

3 . 1/5 of an hour (in minutes)

4. 1/6 of a day (in hours)

Solve the following:

1. Sara’s mother made a Christmas cake. Sara ate 5/16 of the cake, and her brother ate 8/16 of the cake. Who ate more and how much?

2. The Maths quiz was 2 hours 10 minutes long. It started at 8:05 a.m. At what time it got over?

3. To make soup Hana took 2/8 of milk and 5/8 of water . How much quantity she used in all?