Let’s solve each problem step by step. We’re dividing fractions by decimals, and we need to round the answer to the nearest hundredth (two decimal places).
To divide a fraction by a decimal:
1. Convert the decimal to a fraction OR convert the fraction to a decimal — whichever is easier.
2. Then do the division.
3. Round the result to two decimal places.
We’ll go one by one.
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Row 1:
1.
½ ÷ 1.5
½ = 0.5
0.5 ÷ 1.5 = 0.333... →
0.33
2.
⅙ ÷ 0.6
⅙ ≈ 0.1667
0.1667 ÷ 0.6 ≈ 0.2778 →
0.28
---
Row 2:
3.
⅓ ÷ 2.1
⅓ ≈ 0.3333
0.3333 ÷ 2.1 ≈ 0.1587 →
0.16
4.
¾ ÷ 1.2
¾ = 0.75
0.75 ÷ 1.2 = 0.625 →
0.63
---
Row 3:
5.
¹⁄₇ 1.4
¹⁄₇ ≈ 0.1429
0.1429 ÷ 1.4 ≈ 0.1021 →
0.10
6.
½ ÷ 2.8
½ = 0.5
0.5 ÷ 2.8 ≈ 0.1786 →
0.18
7.
²⁄₄ 1.3
²⁄₄ = ½ = 0.5
0.5 ÷ 1.3 ≈ 0.3846 →
0.38
---
Row 4:
8.
²⁄₅ 0.8
²⁄₅ = 0.4
0.4 ÷ 0.8 = 0.5 →
0.50
9.
⁵⁄₉ ÷ 0.2
⁵⁄₉ ≈ 0.5556
0.5556 ÷ 0.2 = 2.778 →
2.78
10.
¾ ÷ 0.2
¾ = 0.75
0.75 ÷ 0.2 = 3.75 →
3.75
---
Row 5:
11.
⁴⁄₆ ÷ 1.1
⁴⁄₆ = ²⁄₃ ≈ 0.6667
0.6667 ÷ 1.1 ≈ 0.6061 →
0.61
12.
¼ ÷ 1.5
¼ = 0.25
0.25 ÷ 1.5 ≈ 0.1667 →
0.17
13.
²⁄₈ ÷ 0.6
²⁄₈ = ¼ = 0.25
0.25 ÷ 0.6 ≈ 0.4167 →
0.42
---
Row 6:
14.
²⁄₈ 0.4
²⁄₈ = ¼ = 0.25
0.25 ÷ 0.4 = 0.625 →
0.63
15.
²⁄₃ 1.7
²⁄₃ ≈ 0.6667
0.6667 ÷ 1.7 ≈ 0.3922 →
0.39
16.
³⁄₉ ÷ 0.2
³⁄₉ = ⅓ ≈ 0.3333
0.3333 ÷ 0.2 = 1.6665 →
1.67
---
Row 7:
17.
⁵⁄ ÷ 0.6
⁵⁄₈ = 0.625
0.625 ÷ 0.6 ≈ 1.0417 →
1.04
18.
⁶⁄₇ ÷ 1.4
⁶⁄₇ ≈ 0.8571
0.8571 ÷ 1.4 ≈ 0.6122 →
0.61
19.
⁷₈ ÷ 1.2
⁷⁄₈ = 0.875
0.875 ÷ 1.2 ≈ 0.7292 →
0.73
---
Row 8:
20.
²⁄₇ ÷ 0.1
²⁄₇ ≈ 0.2857
0.2857 ÷ 0.1 = 2.857 →
2.86
21.
⁸⁄₉ 1.8
⁸⁄₉ ≈ 0.8889
0.8889 ÷ 1.8 ≈ 0.4938 →
0.49
22.
³⁄₅ 0.5
³⁄₅ = 0.6
0.6 ÷ 0.5 = 1.2 →
1.20
---
Row 9:
23.
³⁄₉ ÷ 0.3
³⁄₉ = ⅓ ≈ 0.3333
0.3333 ÷ 0.3 ≈ 1.111 →
1.11
24.
²⁄₃ ÷ 1.9
²⁄₃ ≈ 0.6667
0.6667 ÷ 1.9 ≈ 0.3509 →
0.35
25.
¹⁄₆ ÷ 0.2
¹⁄₆ ≈ 0.1667
0.1667 ÷ 0.2 = 0.8335 →
0.83
---
Final Answer:
Here are all the answers rounded to the nearest hundredth:
Row 1:
0.33, 0.28
Row 2:
0.16, 0.63
Row 3:
0.10, 0.18, 0.38
Row 4:
0.50, 2.78, 3.75
Row 5:
0.61, 0.17, 0.42
Row 6:
0.63, 0.39, 1.67
Row 7:
1.04, 0.61, 0.73
Row 8:
2.86, 0.49, 1.20
Row 9:
1.11, 0.35, 0.83
Parent Tip: Review the logic above to help your child master the concept of decimal worksheet grade 6.
