What is 0.75 as a fraction?


Quick Answer

The decimal 0.75 is equal to three over four as a fraction, or three-fourths. It can be converted by putting 0.75 over a denominator of one, and then multiplying both by 100. From there, the fraction of 75 over 100 can be reduced to three over four by dividing by their largest common factor of 25.

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Full Answer

Any decimal can be turned into a fraction by writing a denominator of one. In order to turn it into a fraction that only contains whole numbers, the fraction as a whole must be multiplied by a multiple of 10. If there is one number after the decimal place in the numerator, multiply both the top and bottom of the fraction by 10. If there are two numbers after the decimal place, multiply instead by 100. Multiply the original fraction by a multiple of 10 that will result in an integer.

Fractions are typically reduced into lowest terms whenever possible by dividing by the largest common factor. The fraction is only in lowest terms if the numerator and denominator have no common factors. A factor refers to any smaller number that can be divided evenly into a number. In the case of 75 over 100, both numbers share a common factor of 25. Dividing both parts of the fraction by 25 yields a final answer of three over four.

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