Step-by-step Maths Level 3: Three quarters, and 3/4 of an amount
Part of the Step-by-step Maths Level 3 halves and quarters chapter. Chapter overview · whole chapter on one page
Three quarters, and 3/4 of an amount
3/4 means three of four equal parts. The bottom number says how many equal parts there are. The top number says how many we take.
To find 3/4 of an amount, first find 1/4, then take three of those parts.
Key ideas
- 3/4 is three of four equal parts.
- Find 1/4 first, then take three.
- The top number is how many we take.
Method. Count the equal parts for the bottom number, and the shaded parts for the top number.
- Count the equal parts. The shape is split into 4 equal parts.4 equal parts
- Count the shaded parts. 3 of the 4 parts are shaded.3 shaded
- Write the fraction. The shaded parts go on top. The number of equal parts goes underneath.3/4
Check. Check: 3 shaded parts out of 4 equal parts.
Watch out. The bottom number counts all the equal parts, shaded or not.
Method. Divide the number into equal parts, then take the number of parts the fraction says.
- Split 12 into 4 equal groups. Each group is one part of the whole.12 ÷ 4 = 3
- Take 3 of the groups. 3/4 means 3 of the 4 equal parts.3 × 3 = 9
- Write the answer. This is the amount for the fraction.9
Check. Check: 9 is 3 of the 4 equal groups of 3.
Watch out. The bottom number tells you how many equal groups to split into. The top number tells you how many to take.
Method. Split the amount into equal parts, then take the parts the fraction asks for.
- Split the 16 stickers into 4 equal groups. Each group is one part of the whole.16 ÷ 4 = 4
- Take 3 of the groups for the box. 3/4 is 3 of the 4 equal parts.3 × 4 = 12
- Write the answer. This is the number in the box.12
Check. Check: 12 is 3 of the 4 equal groups of 4.
Watch out. Work out one part first, then take the number of parts.
Watch out
Watch out. 3/4 of 12 is 9, not 3. Take three of the four equal groups, not one.
Exam tip
Grown-up tip. Ask: “How many equal parts? How many do we take? Find one part first.”
Exercise 8C Practice: three quarters
Non-calculatorMethod. Divide the number into equal parts, then take the number of parts the fraction says.
- Split 12 into 4 equal groups. Each group is one part of the whole.12 ÷ 4 = 3
- Take 3 of the groups. 3/4 means 3 of the 4 equal parts.3 × 3 = 9
- Write the answer. This is the amount for the fraction.9
Check. Check: 9 is 3 of the 4 equal groups of 3.
Watch out. The bottom number tells you how many equal groups to split into. The top number tells you how many to take.
Method. Split the amount into equal parts, then take the parts the fraction asks for.
- Split the 48 sweets into 4 equal groups. Each group is one part of the whole.48 ÷ 4 = 12
- Take 3 of the groups for the box. 3/4 is 3 of the 4 equal parts.3 × 12 = 36
- Write the answer. This is the number in the box.36
Check. Check: 36 is 3 of the 4 equal groups of 12.
Watch out. Work out one part first, then take the number of parts.
Method. Split the amount into equal parts, then take the parts the fraction asks for.
- Split the 16 stickers into 4 equal groups. Each group is one part of the whole.16 ÷ 4 = 4
- Take 3 of the groups for the box. 3/4 is 3 of the 4 equal parts.3 × 4 = 12
- Write the answer. This is the number in the box.12
Check. Check: 12 is 3 of the 4 equal groups of 4.
Watch out. Work out one part first, then take the number of parts.
Method. Divide the number into equal parts, then take the number of parts the fraction says.
- Split 16 into 4 equal groups. Each group is one part of the whole.16 ÷ 4 = 4
- Take 3 of the groups. 3/4 means 3 of the 4 equal parts.3 × 4 = 12
- Write the answer. This is the amount for the fraction.12
Check. Check: 12 is 3 of the 4 equal groups of 4.
Watch out. The bottom number tells you how many equal groups to split into. The top number tells you how many to take.
Method. Divide the number into equal parts, then take the number of parts the fraction says.
- Split 48 into 4 equal groups. Each group is one part of the whole.48 ÷ 4 = 12
- Take 3 of the groups. 3/4 means 3 of the 4 equal parts.3 × 12 = 36
- Write the answer. This is the amount for the fraction.36
Check. Check: 36 is 3 of the 4 equal groups of 12.
Watch out. The bottom number tells you how many equal groups to split into. The top number tells you how many to take.
Method. Split the amount into equal parts, then take the parts the fraction asks for.
- Split the 8 beads into 4 equal groups. Each group is one part of the whole.8 ÷ 4 = 2
- Take 3 of the groups for the box. 3/4 is 3 of the 4 equal parts.3 × 2 = 6
- Write the answer. This is the number in the box.6
Check. Check: 6 is 3 of the 4 equal groups of 2.
Watch out. Work out one part first, then take the number of parts.
Method. Split the amount into equal parts, then take the parts the fraction asks for.
- Split the 40 stickers into 4 equal groups. Each group is one part of the whole.40 ÷ 4 = 10
- Take 3 of the groups for the box. 3/4 is 3 of the 4 equal parts.3 × 10 = 30
- Write the answer. This is the number in the box.30
Check. Check: 30 is 3 of the 4 equal groups of 10.
Watch out. Work out one part first, then take the number of parts.
Method. Divide the number into equal parts, then take the number of parts the fraction says.
- Split 36 into 4 equal groups. Each group is one part of the whole.36 ÷ 4 = 9
- Take 3 of the groups. 3/4 means 3 of the 4 equal parts.3 × 9 = 27
- Write the answer. This is the amount for the fraction.27
Check. Check: 27 is 3 of the 4 equal groups of 9.
Watch out. The bottom number tells you how many equal groups to split into. The top number tells you how many to take.
Method. Divide the number into equal parts, then take the number of parts the fraction says.
- Split 40 into 4 equal groups. Each group is one part of the whole.40 ÷ 4 = 10
- Take 3 of the groups. 3/4 means 3 of the 4 equal parts.3 × 10 = 30
- Write the answer. This is the amount for the fraction.30
Check. Check: 30 is 3 of the 4 equal groups of 10.
Watch out. The bottom number tells you how many equal groups to split into. The top number tells you how many to take.
Method. Split the amount into equal parts, then take the parts the fraction asks for.
- Split the 32 beads into 4 equal groups. Each group is one part of the whole.32 ÷ 4 = 8
- Take 3 of the groups for the box. 3/4 is 3 of the 4 equal parts.3 × 8 = 24
- Write the answer. This is the number in the box.24
Check. Check: 24 is 3 of the 4 equal groups of 8.
Watch out. Work out one part first, then take the number of parts.
Method. Divide the number into equal parts, then take the number of parts the fraction says.
- Split 44 into 4 equal groups. Each group is one part of the whole.44 ÷ 4 = 11
- Take 3 of the groups. 3/4 means 3 of the 4 equal parts.3 × 11 = 33
- Write the answer. This is the amount for the fraction.33
Check. Check: 33 is 3 of the 4 equal groups of 11.
Watch out. The bottom number tells you how many equal groups to split into. The top number tells you how many to take.
Method. Split the amount into equal parts, then take the parts the fraction asks for.
- Split the 32 beads into 4 equal groups. Each group is one part of the whole.32 ÷ 4 = 8
- Take 3 of the groups for the box. 3/4 is 3 of the 4 equal parts.3 × 8 = 24
- Write the answer. This is the number in the box.24
Check. Check: 24 is 3 of the 4 equal groups of 8.
Watch out. Work out one part first, then take the number of parts.
Method. Split the amount into equal parts, then take the parts the fraction asks for.
- Split the 48 sweets into 4 equal groups. Each group is one part of the whole.48 ÷ 4 = 12
- Take 3 of the groups for the box. 3/4 is 3 of the 4 equal parts.3 × 12 = 36
- Write the answer. This is the number in the box.36
Check. Check: 36 is 3 of the 4 equal groups of 12.
Watch out. Work out one part first, then take the number of parts.
Method. Split the amount into equal parts, then take the parts the fraction asks for.
- Split the 12 sweets into 4 equal groups. Each group is one part of the whole.12 ÷ 4 = 3
- Take 3 of the groups for the box. 3/4 is 3 of the 4 equal parts.3 × 3 = 9
- Write the answer. This is the number in the box.9
Check. Check: 9 is 3 of the 4 equal groups of 3.
Watch out. Work out one part first, then take the number of parts.
Method. Split the amount into equal parts, then take the parts the fraction asks for.
- Split the 40 stickers into 4 equal groups. Each group is one part of the whole.40 ÷ 4 = 10
- Take 3 of the groups for the box. 3/4 is 3 of the 4 equal parts.3 × 10 = 30
- Write the answer. This is the number in the box.30
Check. Check: 30 is 3 of the 4 equal groups of 10.
Watch out. Work out one part first, then take the number of parts.
Method. Split the amount into equal parts, then take the parts the fraction asks for.
- Split the 28 stickers into 4 equal groups. Each group is one part of the whole.28 ÷ 4 = 7
- Take 3 of the groups for the box. 3/4 is 3 of the 4 equal parts.3 × 7 = 21
- Write the answer. This is the number in the box.21
Check. Check: 21 is 3 of the 4 equal groups of 7.
Watch out. Work out one part first, then take the number of parts.