Class 5 maths WORKSHEET LESSON 2

Mathematics Worksheet: Fractions

This worksheet covers fractions aligned with NCERT syllabus for Foundation and Preparatory stages. Try answering each question before clicking “Show Answer”. Solutions are hidden under “Show Solution”.

Easy Questions (40%)

• What fraction of the chocolate is shaded if one whole chocolate is divided into 4 equal parts and 1 part is shaded?
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  Answer: \(\frac{1}{4}\)

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  Solution: The chocolate is divided into 4 equal parts and 1 is shaded, so fraction shaded is \(\frac{1}{4}\).
• Shade \(\frac{1}{3}\) of the given shape divided into three equal parts.
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  Answer: One part shaded out of three.

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  Solution: Divide the shape into 3 equal parts and shade one part.
• Which fraction is bigger: \(\frac{1}{2}\) or \(\frac{1}{3}\)?
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  Answer: \(\frac{1}{2}\) is bigger.

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  Solution: Since denominator 2 is smaller, \(\frac{1}{2}\) represents a larger part than \(\frac{1}{3}\).
• Write the fraction of shaded portion where half of a figure is shaded.
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  Answer: \(\frac{1}{2}\)

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  Solution: Half shaded means one part shaded out of two equal parts.

Average Questions (40%)

• Find two equivalent fractions for \(\frac{1}{2}\).
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  Answer: \(\frac{2}{4}\), \(\frac{3}{6}\)

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  Solution: Multiply numerator and denominator of \(\frac{1}{2}\) by 2 and 3 to get equivalent fractions.
• Compare \(\frac{2}{5}\) and \(\frac{3}{5}\) using > or <.
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  Answer: \(\frac{2}{5} < \frac{3}{5}\)

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  Solution: With same denominators, fraction with bigger numerator is larger.
• Write three fractions greater than \(\frac{1}{2}\).
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  Answer: \(\frac{3}{4}\), \(\frac{4}{5}\), \(\frac{5}{6}\)

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  Solution: Fractions where numerator is more than half denominator are greater than \(\frac{1}{2}\).
• What fraction is shaded if 2 out of 8 equal parts are shaded? Simplify the fraction.
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  Answer: \(\frac{2}{8} = \frac{1}{4}\)

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  Solution: \(\frac{2}{8}\) simplifies to \(\frac{1}{4}\) by dividing numerator and denominator by 2.
• Draw a number line and mark \(\frac{3}{4}\), \(\frac{1}{2}\), and \(\frac{1}{4}\) on it.
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  Answer: Points at 0.25, 0.5, and 0.75

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  Solution: Number line from 0 to 1 divided into 4 parts; mark appropriate fractions.

Challenging Questions (20%)

• Raman took \(\frac{5}{12}\) of a paratha and his sister took \(\frac{6}{12}\). How many whole parathas did they eat together?
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  Answer: \(\frac{11}{12}\) of a paratha

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  Solution: Add \(\frac{5}{12} + \frac{6}{12} = \frac{11}{12}\), less than one whole.
• Dadiji ate \(\frac{7}{12}\) and Baba ate \(\frac{5}{12}\). How many parathas did they eat in total? Is it more than one whole?
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  Answer: \(\frac{12}{12} = 1\) whole paratha

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  Solution: Sum is \(\frac{7}{12} + \frac{5}{12} = \frac{12}{12} = 1\) whole.
• Write a fraction greater than 1 and explain why it is greater.
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  Answer: \(\frac{5}{4}\)

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  Solution: Numerator > denominator means fraction > 1.
• Show on a number line fractions \(\frac{1}{2}\), \(\frac{3}{2}\), and \(\frac{2}{2}\).
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  Answer: 0.5, 1.5, and 1 respectively on the number line

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  Solution: Divide number line from 0 to 2 into equal parts and mark points.
• Find equivalent fractions to \(\frac{3}{4}\) by multiplying numerator and denominator by 2 and 3.
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  Answer: \(\frac{6}{8}, \frac{9}{12}\)

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  Solution: Multiply 3 and 4 by 2: \(\frac{6}{8}\), by 3: \(\frac{9}{12}\).