CBSE Class 7 Mathematics Fractions Assignment Set 07

Question 1. Write the fraction representing the shaded portion.
Answer: To find the fraction representing the shaded portion, count the total number of equal parts in the whole figure to form the denominator, and count the number of shaded parts to form the numerator.
Fraction = \(\frac{\text{Number of shaded parts}}{\text{Total number of equal parts}}\)
In simple words: The fraction shows how many parts are colored out of the total parts.

Exam Tip: Always make sure all parts of the figure are equal in size before counting them.

Question 2. Color the figure according to the given fraction: \(\frac{3}{4}\).
Answer: The denominator is 4, which means the figure is divided into 4 equal parts. The numerator is 3, which means you need to shade 3 out of the 4 parts.
Shade any 3 parts of the given figure.
In simple words: Color 3 parts out of the 4 equal parts.

Exam Tip: The numerator tells you how many parts to color, and the denominator tells you the total parts available.

Question 3. Check whether the given fractions are equivalent: \(\frac{1}{2}\) and \(\frac{2}{4}\).
Answer: To check if two fractions are equivalent, cross-multiply them or simplify them to their lowest terms.
Simplify \(\frac{2}{4}\):
\(\frac{2 \div 2}{4 \div 2} = \frac{1}{2}\)
Since both fractions simplify to \(\frac{1}{2}\), they are equivalent.
In simple words: Equivalent fractions represent the same part of a whole, even if the numbers look different.

Exam Tip: You can quickly check equivalence by cross-multiplying: \(1 \times 4 = 4\) and \(2 \times 2 = 4\). Since both products are equal, the fractions are equivalent.

Question 4. Add the following fractions: \(\frac{2}{5} + \frac{1}{5}\).
Answer: Since the denominators are the same, add the numerators directly and keep the denominator unchanged.
\(\frac{2 + 1}{5} = \frac{3}{5}\)
In simple words: When the bottom numbers are the same, just add the top numbers together.

Exam Tip: Never add denominators when adding fractions with like denominators.

Question 5. Subtract the following fractions: \(\frac{7}{9} - \frac{4}{9}\).
Answer: Since the denominators are the same, subtract the numerators directly and keep the denominator unchanged.
\(\frac{7 - 4}{9} = \frac{3}{9}\)
Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3:
\(\frac{3 \div 3}{9 \div 3} = \frac{1}{3}\)
In simple words: Subtract the top numbers when the bottom numbers are the same, and simplify if possible.