Fraction Foundations: Equivalence, Counting and Decimals
Year 4 | Ages 8–9 | Intermediate
Instructions: Work through each activity and write your answers in the boxes. Show a quick calculation where it helps, and simplify fractions when you can. Check that each answer matches the question.
Equivalent Fraction Families
Complete each equivalent fraction by finding the missing numerator or denominator. Multiply or divide the numerator and denominator by the same number.
1. 1/2 = ___/4
2. 1/3 = 2/___
3. 2/3 = ___/12
4. 3/4 = 6/___
5. 2/5 = 6/___
Count in Hundredths
Write the missing hundredths in each sequence. The numbers go up or down by the same amount each time.
1. 0.12, 0.13, ___, 0.15
2. 0.36, 0.37, ___, 0.39
3. 0.58, 0.57, ___, 0.55
4. 0.74, 0.72, ___, 0.68
5. 0.91, 0.89, ___, 0.85
Fractions of Quantities
Find each fraction of the quantity. For a non-unit fraction, first find one equal part, then multiply by the numerator.
1. 1/4 of 20 =
2. 3/5 of 25 =
3. 2/3 of 18 =
4. 3/8 of 32 =
5. 5/6 of 24 =
Add and Subtract Like Fractions
For each calculation, keep the denominator the same and add or subtract the numerators. Simplify your answer if possible.
1. 2/7 + 3/7 =
2. 6/9 − 2/9 =
3. 3/8 + 4/8 =
4. 7/10 − 3/10 =
5. 5/12 + 4/12 =
Fractions as Decimals
Write each fraction as a decimal. Remember that tenths have one decimal place and hundredths have two. Use the familiar decimal equivalents for quarters and halves.
1. 7/10 =
2. 23/100 =
3. 1/4 =
4. 1/2 =
5. 3/4 =
Fraction and Decimal Connections
Complete each statement with the missing fraction or decimal. Use equivalent fractions and the decimal facts from the previous activity to help you.
1. 0.4 = ___/10
2. 0.08 = ___/100
3. 2/4 = ___
4. 6/8 is equivalent to ___/4
5. 0.75 = ___/4
Activity 1: 2 ; 3 ; 8 ; 8 ; 15
Activity 2: 0.14 ; 0.38 ; 0.56 ; 0.70 ; 0.87
Activity 3: 5 ; 15 ; 12 ; 12 ; 20
Activity 4: 5/7 ; 4/9 ; 7/8 ; 4/10 (or 2/5) ; 9/12 (or 3/4)
Activity 5: 0.7 ; 0.23 ; 0.25 ; 0.5 ; 0.75
Activity 6: 4 ; 8 ; 0.5 ; 3 ; 3
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