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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).
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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.
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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.
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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.
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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.
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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.
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7.
Convert 1.25 to a fraction.
Explanation To convert a decimal to a fraction, we can first write the whole number part as a fraction by placing it over 1. In this case, 1 can be written as 1/1. Then, we convert the decimal part to a fraction by placing the decimal value over a power of 10. Since 0.25 is equivalent to 25/100, we simplify this fraction to 1/4. Finally, we add the two fractions together, which gives us 1 1/4. Therefore, the correct answer is 1 1/4. Additionally, 11/4 is also a correct fraction representation of 1.25.
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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.
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9.
Convert 27.375 to a fraction.
Explanation The given decimal number, 27.375, can be converted to a mixed number or a fraction. In this case, the mixed number is 27 3/8, which means that there are 27 whole units and 3/8 of another unit. Additionally, the fraction form is 273/8, where the numerator represents the total number of parts (27 whole units plus the 3 parts) and the denominator represents the number of equal parts in one whole unit (8 parts). Both the mixed number and the fraction accurately represent the decimal number 27.375.
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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.
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