Free Fraction Converting Questions and Answers — Questions and Answers
Question 1: Convert ⅞ to a decimal.
- 0.78
- 0.875 (Correct answer)
- 0.82
- 0.87
Correct answer: 0.875
To convert a fraction to a decimal, divide the numerator by the denominator. For ⅞, you divide 7 by 8. Performing this division (7 ÷ 8) yields the decimal 0.875.
Question 2: Convert ⅖ to a percentage.
- 25%
- 30%
- 40% (Correct answer)
- 50%
Correct answer: 40%
To convert a fraction to a percentage, first convert it to a decimal by dividing the numerator by the denominator (2 ÷ 5 = 0.4). Then, multiply the decimal by 100 and add the percent symbol. So, 0.4 × 100 = 40%, making 40% the correct answer.
Question 3: Convert ¹¹⁄₄ to a mixed number.
- 2¼
- 3¼
- 2¾ (Correct answer)
- 3¾
Correct answer: 2¾
To convert an improper fraction like ¹¹⁄₄ to a mixed number, divide the numerator (11) by the denominator (4). The quotient, 2, becomes the whole number part. The remainder, 3, becomes the new numerator over the original denominator, 4, resulting in 2¾.
Question 4: Convert 0.6 into a fraction.
- ⅗ (Correct answer)
- ⁶⁄₁₀
- ⅔
- ⅘
Correct answer: ⅗
The decimal 0.6 represents six tenths, which can be written as the fraction ⁶⁄₁₀. To simplify this fraction, divide both the numerator and the denominator by their greatest common divisor, which is 2. This simplifies ⁶⁄₁₀ to ⅗.
Question 5: Convert 75% into a fraction.
- ½
- ¾ (Correct answer)
- ⅝
- ⁷⁄₁₀
Correct answer: ¾
To convert a percentage to a fraction, write the percentage as a number over 100. So, 75% becomes ⁷⁵⁄₁₀₀. Then, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 25. This simplifies ⁷⁵⁄₁₀₀ to ¾.
Convert ⅞ to a decimal.