Can You Pass This Decimal To Fraction Quiz?
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In mathematics, it is possible to give your answers in different ways, and this can be in whole numbers, fractions or even decimals. Do you know how to give numbers in fractions to decimals or in decimals to fractions? Well, let’s put your answer to the test by seeing how many of the questions in this quiz you can solve correctly.
Questions and Answers
- 1.
Convert 0.21 to a fraction.
Explanation
To convert a decimal to a fraction, we can write the decimal as a fraction with the decimal value as the numerator and a power of 10 as the denominator. In this case, the decimal 0.21 can be written as 21/100, where the numerator is 21 (the value of the decimal) and the denominator is 100 (10 raised to the power of 2, since there are 2 decimal places).Rate this question:
- 2.
Convert 0.625 to a fraction and simplify.
Explanation
To convert a decimal to a fraction, we need to determine the place value of the decimal. In this case, the decimal is 0.625, which means it is in the thousandths place. To convert to a fraction, we write the decimal as the numerator and the place value as the denominator. Therefore, 0.625 can be written as 625/1000. To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 125. Simplifying gives us 5/8, which is the final fraction.Rate this question:
- 3.
Convert 0.5625
Explanation
The given answer, 9/16, is the decimal value 0.5625 expressed as a fraction. To convert a decimal to a fraction, we can write the decimal as a fraction with the decimal value as the numerator and a power of 10 as the denominator. In this case, 0.5625 can be written as 5625/10000. Simplifying this fraction gives us 9/16, which is the final answer.Rate this question:
- 4.
Convert 7.125 to a fraction.
Explanation
The decimal number 7.125 can be converted to the fraction 57/8. Here’s how:
The number 7 is the whole number part, so it’s 7 * 8 = 56.
The decimal part, 0.125, is equivalent to 1/8.
Add these two parts together: 56 (from step 1) + 1 (from step 2) = 57.
So, 7.125 as a fraction is 57/8.Rate this question:
- 5.
Convert 0.6 to a fraction.
Explanation
To convert a decimal to a fraction, we can write the decimal as a fraction with the decimal value as the numerator and the place value as the denominator. In this case, the decimal 0.6 can be written as 6/10. To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2. Dividing 6 by 2 gives us 3, and dividing 10 by 2 gives us 5. Therefore, the fraction 6/10 simplifies to 3/5.Rate this question:
- 6.
Convert 0.84375 to a fraction.
Explanation
To convert a decimal to a fraction, we count the number of decimal places after the whole number. In this case, there are 5 decimal places. We can write 0.84375 as 84375/100000. To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 125. After simplifying, we get 27/32.Rate this question:
- 7.
Convert 1.25 to a fraction.
- 8.
Convert 0.6875 to a fraction.
Explanation
To convert a decimal to a fraction, we count the number of decimal places after the whole number. In this case, there are 4 decimal places. We write the decimal as the numerator and 1 followed by the same number of zeros as the denominator. Simplifying the fraction, we divide both the numerator and denominator by their greatest common divisor, which is 1. Therefore, the fraction equivalent of 0.6875 is 11/16.Rate this question:
- 9.
Convert 27.375 to a fraction.
Explanation
Separate the whole and decimal parts: 27 and 0.375
Convert the decimal to a fraction: 0.375 = 375/1000
Simplify the fraction: 375/1000 = 3/8
Combine the whole and fractional parts: 27 + 3/8 = 216/8 + 3/8 = 219/8Rate this question:
- 10.
Convert 0.16 to a fraction.
Explanation
To convert a decimal to a fraction, we count the number of decimal places and put the decimal value over a power of 10. In this case, there are two decimal places, so we put 16 over 100. To simplify the fraction, we divide both the numerator and denominator by their greatest common divisor, which is 4. Therefore, 0.16 is equal to 4/25.Rate this question:
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Nov 19, 2024Quiz Edited by
ProProfs Editorial Team -
May 15, 2012Quiz Created by
Karen Shoskey
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