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.
Know MoreAny 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.
Learn more about Fractions & PercentagesTo convert an improper fraction to a mixed number, divide the numerator by the denominator and express the quotient as the whole number. Write the remainder as the numerator of the new fraction, keeping the original denominator.
Full Answer >In order to express a number as a percentage, one converts it from a mixed number or fraction to a decimal, moves the decimal point two places to the right and adds the percent sign. By definition, percentage is the rate per 100. Moving the decimal point is a shortcut for multiplying by 100.
Full Answer >The decimal 0.875 is the equivalent of 7/8 as a fraction. To determine this, take 875/1000, and reduce the fraction as much as possible. Divide the numerator and denominator by 25 to get 35/40. Reduce the fraction by 5 again to get 7/8.
Full Answer >A percentage is solved by transferring a percentage into a decimal or a fraction, or by transferring a decimal or fraction into a percentage. To transfer a percentage into a decimal, divide the percentage by 100. To transfer it into a fraction, multiply the fraction by 100.
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