Fraction Explorers: Year 5 Challenge
Key Stage 2 · Year 5 · Intermediate
Instructions: Work through each activity, showing clear working in the answer boxes. Look for common denominators when comparing, adding or subtracting fractions. Simplify answers where possible.
Compare and Order Fractions
For questions 1–3, write <, > or = in each box. For questions 4–5, write the fractions in order from smallest to largest. Use equivalent fractions to help you compare.
1. 3/4 6/8
2. 5/6 10/12
3. 3/5 7/10
4. Order from smallest to largest: 1/2, 3/4, 5/8.
5. Order from smallest to largest: 5/6, 2/3, 3/4.
Equivalent Fractions: Tenths and Hundredths
Complete each fraction so that the two fractions are equivalent. Multiply or divide the numerator and denominator by the same number. Remember that tenths can be written as hundredths.
1. 3/5 = ___/10
2. 7/10 = ___/100
3. 4/25 = ___/100
4. 6/8 = ___/4
5. 9/12 = ___/4
Mixed Numbers and Improper Fractions
Convert each mixed number to an improper fraction, or each improper fraction to a mixed number. For mixed-number answers, write any remainder as the numerator of the fractional part.
1. Convert 2 3/5 to an improper fraction.
2. Convert 17/4 to a mixed number.
3. Convert 3 2/7 to an improper fraction.
4. Convert 23/6 to a mixed number.
5. Convert 1 5/8 to an improper fraction.
Add and Subtract Fractions
Find a common denominator when the denominators are different. The larger denominator in each pair is a multiple of the smaller one. Give each answer in its simplest form, or as a mixed number when needed.
1. 2/3 + 1/6 =
2. 3/4 + 1/8 =
3. 5/6 - 1/3 =
4. 7/10 - 1/5 =
5. 1 1/4 + 3/8 =
Multiply Fractions by Whole Numbers
Multiply the numerator by the whole number and keep the denominator the same. Simplify your answer, writing an improper fraction as a mixed number when appropriate.
1. 3 × 1/4 =
2. 4 × 2/5 =
3. 6 × 3/8 =
4. 2 × 1 1/3 =
5. 3 × 1 1/2 =
Activity 1: < ; = ; < ; 1/2, 5/8, 3/4 ; 2/3, 3/4, 5/6
Activity 2: 6 ; 70 ; 16 ; 3 ; 3
Activity 3: 13/5 ; 4 1/4 ; 23/7 ; 3 5/6 ; 13/8
Activity 4: 5/6 ; 7/8 ; 1/2 ; 1/2 ; 1 5/8
Activity 5: 3/4 ; 1 3/5 ; 2 1/4 ; 2 2/3 ; 4 1/2
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