Ratio Conversion Quiz: Converting Ratios to Fractions and Decimals

  • 6th Grade,
  • 7th Grade
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| Attempts: 15 | Questions: 20 | Updated: Dec 17, 2025
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1) Convert the ratio 3 : 4 to a fraction and a decimal.

Explanation

Interpret 3 : 4 as 3/4. Divide 3 by 4: 3 ÷ 4 = 0.75. The fraction is already in simplest form.

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About This Quiz
Ratio Conversion Quiz: Converting Ratios To Fractions and Decimals - Quiz

Ever wondered how the same ratio can take multiple useful forms? In this quiz, you’ll convert ratios into fractions, decimals, and simplified comparisons to see how each representation highlights something different. You’ll practice reformatting values, check for equivalence, and understand how these conversions help in real situations like scaling o... see morecomparisons. Step by step, you’ll strengthen your flexibility with ratios and learn to interpret them in whichever format best fits the problem.
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2) Convert 5 : 2 to fraction and decimal.

Explanation

Write 5 : 2 as 5/2. Compute 5 ÷ 2 = 2.5.

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3) The ratio 2 : 3 equals the fraction 2/3 and the decimal 0.666… (repeating).

Explanation

2 : 3 = 2/3. Long division 2 ÷ 3 = 0.666… with 6 repeating.

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4) Which is equivalent to 9 : 12 in simplest fraction and decimal?

Explanation

Simplify 9/12 by dividing numerator and denominator by 3 → 3/4. Compute 3 ÷ 4 = 0.75.

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5) Convert 11 : 4 to fraction and decimal.

Explanation

11 : 4 = 11/4. Divide 11 by 4: 4×2 = 8, remainder 3 ⇒ 2 + 3/4 = 2.75.

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6) Complete: 3 : 8 = ____ (fraction) and 0.375 (decimal).

Explanation

3 : 8 = 3/8. Compute 3 ÷ 8 = 0.375.

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7) Convert 6 : 15 to simplest fraction and decimal.

Explanation

6 : 15 = 6/15. Simplify by 3 → 2/5. Compute 2 ÷ 5 = 0.4.

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8) Convert 7 : 3 to fraction and decimal.

Explanation

7 : 3 = 7/3. Divide 7 by 3 = 2.333… (repeating 3).

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9) The ratio 7 : 8 equals the decimal 0.875.

Explanation

7 : 8 = 7/8. Compute 7 ÷ 8 = 0.875.

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10) Complete: 2 : 5 = ____ (fraction) and 0.4 (decimal).

Explanation

2 : 5 = 2/5. 2 ÷ 5 = 0.4.

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11) Which decimal matches the ratio 13 : 20?

Explanation

13 : 20 = 13/20. Compute 13 ÷ 20 = 0.65.

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12) Select all representations equal to 45 : 60.

Explanation

45/60 simplifies by 15 → 3/4. 3/4 = 0.75. 9/12 simplifies to 3/4. 4/3 = 1.333… and 0.8 = 4/5, not equal.

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13) Convert 4 : 25 to fraction and decimal.

Explanation

4 : 25 = 4/25. Compute 4 ÷ 25 = 0.16.

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14) The ratio 1 : 8 equals the decimal 0.08.

Explanation

1 : 8 = 1/8. Compute 1 ÷ 8 = 0.125, not 0.08.

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15) Complete: 7 : 10 = ____ (fraction) and 0.7 (decimal).

Explanation

Write 7 : 10 as 7/10. Divide 7 by 10 to get 0.7.

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16) The ratio 14 : 21 simplifies to 2/3 and the decimal 0.666…

Explanation

14 : 21 = 14/21. Divide numerator and denominator by 7 → 2/3. 2 ÷ 3 = 0.666…

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17) Select all forms equivalent to 12 : 30.

Explanation

12/30 simplifies by 6 → 2/5. 2/5 = 0.4. 4/10 simplifies to 2/5. 5/2 = 2.5, not equivalent.

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18) Select all that represent 0.2 as a ratio or fraction.

Explanation

0.2 = 2/10 = 1/5 = 1 : 5 = 20 : 100. 5 : 1 equals 5. 1/50 = 0.02, not 0.2.

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19) Complete: 9 : 12 = ____ (fraction) and 0.75 (decimal).

Explanation

9 : 12 = 9/12. Simplify by 3 → 3/4. 3 ÷ 4 = 0.75.

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20) Select all forms equivalent to the ratio 8 : 20.

Explanation

8 : 20 = 8/20. Simplify by 4 → 2/5. 2 ÷ 5 = 0.4. 4/10 simplifies to 2/5. 5/2 = 2.5, not equal to 0.4.

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Convert the ratio 3 : 4 to a fraction and a decimal.
Convert 5 : 2 to fraction and decimal.
The ratio 2 : 3 equals the fraction 2/3 and the decimal 0.666…...
Which is equivalent to 9 : 12 in simplest fraction and decimal?
Convert 11 : 4 to fraction and decimal.
Complete: 3 : 8 = ____ (fraction) and 0.375 (decimal).
Convert 6 : 15 to simplest fraction and decimal.
Convert 7 : 3 to fraction and decimal.
The ratio 7 : 8 equals the decimal 0.875.
Complete: 2 : 5 = ____ (fraction) and 0.4 (decimal).
Which decimal matches the ratio 13 : 20?
Select all representations equal to 45 : 60.
Convert 4 : 25 to fraction and decimal.
The ratio 1 : 8 equals the decimal 0.08.
Complete: 7 : 10 = ____ (fraction) and 0.7 (decimal).
The ratio 14 : 21 simplifies to 2/3 and the decimal 0.666…
Select all forms equivalent to 12 : 30.
Select all that represent 0.2 as a ratio or fraction.
Complete: 9 : 12 = ____ (fraction) and 0.75 (decimal).
Select all forms equivalent to the ratio 8 : 20.
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