Step-by-step Maths Level 4: Finding a fraction of a set or an amount

Method. Find one equal part by dividing by the bottom number. Then multiply by the top number.

1. Divide 45 into 5 equal parts. The bottom number tells us how many equal parts to make.
   45 ÷ 5 = 9
2. Take 3 of the parts. The top number tells us how many parts to take.
   3 × 9 = 27
3. Write the answer. This is the fraction of the amount.
   27

Check. Check: 2 parts are left and 18 is left over, so 27 + 18 = 45.

Watch out. Divide by the bottom number first, then multiply by the top number.

Method. Find one equal part by dividing by the bottom number. Then multiply by the top number.

1. Divide 32 into 8 equal parts. The bottom number tells us how many equal parts to make.
   32 ÷ 8 = 4
2. Take 2 of the parts. The top number tells us how many parts to take.
   2 × 4 = 8
3. Write the answer. This is the fraction of the amount.
   8

Check. Check: 6 parts are left and 24 is left over, so 8 + 24 = 32.

Watch out. Divide by the bottom number first, then multiply by the top number.

Method. Find one equal part by dividing by the bottom number. Then multiply by the top number.

1. Divide 56 into 8 equal parts. The bottom number tells us how many equal parts to make.
   56 ÷ 8 = 7
2. Take 6 of the parts. The top number tells us how many parts to take.
   6 × 7 = 42
3. Write the answer. This is the fraction of the amount.
   42

Check. Check: 2 parts are left and 14 is left over, so 42 + 14 = 56.

Watch out. Divide by the bottom number first, then multiply by the top number.

Method. Find one equal part, then multiply it by the top number.

1. Share 24 into 8 equal groups. Each group is one equal part of the set.
   24 ÷ 8 = 3
2. Count 3 of the groups. The shaded part is the top number of groups.
   3 × 3 = 9
3. Write the answer. This is how many are shaded.
   9

Check. Check: 9 of the 24 are shaded.

Watch out. The shaded part is always a fraction of the total set, not of the bottom number.

Method. Find one equal part, then multiply it by the top number.

1. Share 12 into 4 equal groups. Each group is one equal part of the set.
   12 ÷ 4 = 3
2. Count 3 of the groups. The shaded part is the top number of groups.
   3 × 3 = 9
3. Write the answer. This is how many are shaded.
   9

Check. Check: 9 of the 12 are shaded.

Watch out. The shaded part is always a fraction of the total set, not of the bottom number.

Method. Find one equal part, then multiply it by the top number.

1. Share 40 into 5 equal groups. Each group is one equal part of the set.
   40 ÷ 5 = 8
2. Count 2 of the groups. The shaded part is the top number of groups.
   2 × 8 = 16
3. Write the answer. This is how many are shaded.
   16

Check. Check: 16 of the 40 are shaded.

Watch out. The shaded part is always a fraction of the total set, not of the bottom number.

Method. Find one equal part by dividing by the bottom number. Then multiply by the top number.

1. Divide 21 into 3 equal parts. The bottom number tells us how many equal parts to make.
   21 ÷ 3 = 7
2. Take 2 of the parts. The top number tells us how many parts to take.
   2 × 7 = 14
3. Write the answer. This is the fraction of the amount.
   14

Check. Check: 1 parts are left and 7 is left over, so 14 + 7 = 21.

Watch out. Divide by the bottom number first, then multiply by the top number.

Method. Find one equal part by dividing by the bottom number. Then multiply by the top number.

1. Divide 60 into 10 equal parts. The bottom number tells us how many equal parts to make.
   60 ÷ 10 = 6
2. Take 6 of the parts. The top number tells us how many parts to take.
   6 × 6 = 36
3. Write the answer. This is the fraction of the amount.
   36

Check. Check: 4 parts are left and 24 is left over, so 36 + 24 = 60.

Watch out. Divide by the bottom number first, then multiply by the top number.

Method. Find one equal part, then multiply it by the top number.

1. Share 28 into 4 equal groups. Each group is one equal part of the set.
   28 ÷ 4 = 7
2. Count 3 of the groups. The shaded part is the top number of groups.
   3 × 7 = 21
3. Write the answer. This is how many are shaded.
   21

Check. Check: 21 of the 28 are shaded.

Watch out. The shaded part is always a fraction of the total set, not of the bottom number.

Method. Find one equal part, then multiply it by the top number.

1. Share 40 into 8 equal groups. Each group is one equal part of the set.
   40 ÷ 8 = 5
2. Count 6 of the groups. The shaded part is the top number of groups.
   6 × 5 = 30
3. Write the answer. This is how many are shaded.
   30

Check. Check: 30 of the 40 are shaded.

Watch out. The shaded part is always a fraction of the total set, not of the bottom number.

Method. Find one equal part by dividing by the bottom number. Then multiply by the top number.

1. Divide 35 into 5 equal parts. The bottom number tells us how many equal parts to make.
   35 ÷ 5 = 7
2. Take 2 of the parts. The top number tells us how many parts to take.
   2 × 7 = 14
3. Write the answer. This is the fraction of the amount.
   14

Check. Check: 3 parts are left and 21 is left over, so 14 + 21 = 35.

Watch out. Divide by the bottom number first, then multiply by the top number.

Method. Find one equal part by dividing by the bottom number. Then multiply by the top number.

1. Divide 72 into 8 equal parts. The bottom number tells us how many equal parts to make.
   72 ÷ 8 = 9
2. Take 4 of the parts. The top number tells us how many parts to take.
   4 × 9 = 36
3. Write the answer. This is the fraction of the amount.
   36

Check. Check: 4 parts are left and 36 is left over, so 36 + 36 = 72.

Watch out. Divide by the bottom number first, then multiply by the top number.

Method. Find one equal part, then multiply it by the top number.

1. Share 36 into 4 equal groups. Each group is one equal part of the set.
   36 ÷ 4 = 9
2. Count 3 of the groups. The shaded part is the top number of groups.
   3 × 9 = 27
3. Write the answer. This is how many are shaded.
   27

Check. Check: 27 of the 36 are shaded.

Watch out. The shaded part is always a fraction of the total set, not of the bottom number.

Method. Find one equal part, then multiply it by the top number.

1. Share 15 into 5 equal groups. Each group is one equal part of the set.
   15 ÷ 5 = 3
2. Count 1 of the groups. The shaded part is the top number of groups.
   1 × 3 = 3
3. Write the answer. This is how many are shaded.
   3

Check. Check: 3 of the 15 are shaded.

Watch out. The shaded part is always a fraction of the total set, not of the bottom number.

Method. Find one equal part by dividing by the bottom number. Then multiply by the top number.

1. Divide 40 into 10 equal parts. The bottom number tells us how many equal parts to make.
   40 ÷ 10 = 4
2. Take 6 of the parts. The top number tells us how many parts to take.
   6 × 4 = 24
3. Write the answer. This is the fraction of the amount.
   24

Check. Check: 4 parts are left and 16 is left over, so 24 + 16 = 40.

Watch out. Divide by the bottom number first, then multiply by the top number.

Method. Find one equal part, then multiply it by the top number.

1. Share 25 into 5 equal groups. Each group is one equal part of the set.
   25 ÷ 5 = 5
2. Count 3 of the groups. The shaded part is the top number of groups.
   3 × 5 = 15
3. Write the answer. This is how many are shaded.
   15

Check. Check: 15 of the 25 are shaded.

Watch out. The shaded part is always a fraction of the total set, not of the bottom number.