CBSE Class 5 Mathematics Parts And Wholes Worksheet Set 04

FILL IN THE MISSING NUMBERS TO MAKE EQUIVALENT FRACTIONS

Question 1. Fill in the missing numbers for the equivalent fractions shown in grid A.
Answer: Top row represents halves and quarters. Since the top row has a single large block labeled \(\frac{1}{2}\) covering half the width, and the bottom row is divided into four equal parts labeled \(\frac{1}{4}, \frac{1}{4}, \dots\), the equivalent fractions are:
\(\frac{1}{2} = \frac{2}{4} = \frac{3}{6} = \frac{4}{8}\)
Missing numbers in the top row: The remaining blocks can be labeled as \(\frac{2}{4}, \frac{3}{6}, \frac{4}{8}\) or equivalent denominators like \(\frac{2}{4}\). Specifically, mapping to 4 equal columns, top row shows \(\frac{1}{2}\) occupying 2 columns, so the blocks from left to right represent \(\frac{1}{2}, \frac{2}{4}, \frac{3}{6}, \frac{4}{8}\) or simplified parts.
In simple words: Equivalent fractions represent the same part of a whole, shown here by dividing the same length into smaller equal pieces.
Exam Tip: Always multiply or divide both the numerator and the denominator by the same non-zero number to find equivalent fractions.

Question 2. Fill in the missing numbers for the equivalent fractions shown in grid B.
Answer: Grid B compares tenths and fifths across 10 equal columns. The top row shows tenths (\(\frac{1}{10}\)), and the bottom row shows fifths (\(\frac{1}{5}\)), where each fifth equals two tenths (\(\frac{2}{10} = \frac{1}{5}\)).
Missing numbers filled sequentially in tenths row: \(\frac{1}{10}, \frac{2}{10}, \frac{3}{10}, \frac{4}{10}, \frac{5}{10}, \frac{6}{10}, \frac{7}{10}, \frac{8}{10}, \frac{9}{10}, \frac{10}{10}\).
Missing numbers filled sequentially in fifths row: \(\frac{1}{5}, \frac{2}{5}, \frac{3}{5}, \frac{4}{5}, \frac{5}{5}\).
In simple words: Two tenths make up one fifth, so \(\frac{2}{10}\) is equal to \(\frac{1}{5}\).
Exam Tip: Simplify fractions by dividing the numerator and denominator by their greatest common divisor.

Question 3. Fill in the missing numbers for the equivalent fractions shown in grid C.
Answer: Grid C compares quarters (\(\frac{1}{4}\)) and eighths (\(\frac{1}{8}\)) across 8 equal columns. Two eighths equal one quarter (\(\frac{2}{8} = \frac{1}{4}\)).
Top row (quarters): \(\frac{1}{4}, \frac{2}{4}, \frac{3}{4}, \frac{4}{4}\).
Bottom row (eighths): \(\frac{1}{8}, \frac{2}{8}, \frac{3}{8}, \frac{4}{8}, \frac{5}{8}, \frac{6}{8}, \frac{7}{8}, \frac{8}{8}\).
In simple words: Each quarter block is split into two equal eighth blocks.
Exam Tip: Visually check how many smaller parts fit into the larger fraction block to find the multiplier.

Question 4(a). Find the equivalent fraction of \(\frac{7}{9}\) having Numerator 63.
Answer: To get a numerator of 63 from 7, multiply 7 by 9 (\(7 \times 9 = 63\)).
Multiply the denominator 9 by the same number 9: \(9 \times 9 = 81\).
Equivalent fraction = \(\frac{63}{81}\)
In simple words: Multiply both top and bottom numbers by 9 to keep the fraction equivalent.
Exam Tip: Whatever you multiply the numerator by, you must multiply the denominator by the exact same number.

Question 4(b). Find the equivalent fraction of \(\frac{7}{9}\) having Denominator 18.
Answer: To get a denominator of 18 from 9, multiply 9 by 2 (\(9 \times 2 = 18\)).
Multiply the numerator 7 by the same number 2: \(7 \times 2 = 14\).
Equivalent fraction = \(\frac{14}{18}\)
In simple words: Multiply both top and bottom numbers by 2 to get 18 in the denominator.
Exam Tip: Always verify by cross-multiplying the original fraction and the new fraction to check if they are equal.

Match the following
• 1/3, 2/5, 11/13                  mixed numeral
• 11/9 ,15/13 , 20/17           proper fraction
• 7/8, 1/8 , 2/8                    unit fractions
• 1/3, 1/4, 1/5                     improper fractions
• 2 1/3,4 1/7,53/8,              like fractions
• 4/6,5/6,3/6,2/6                 unlike fractions

Write the reciprocal (multiplicative inverse) of the following.

a) 4 _________________

b) 1/5_______________

c) 34/45______________

d) 12/35______________

e) 9__________________

f) 2/4_________________

g) 55/76_______________