MathVine

Converting a decimal to a fraction is very easy. We can express the decimal being converted as divisible by 1. So 0.75 can be written as $rac{0.75}{1}$. Now we take the number of decimal places (this particular decimal has places up to the hundredths) and multiply the top and bottom by that number. $rac{0.75 * 100}{1 * 100} = rac{75}{100}$. This is the decimal fraction. Simplifying this fraction means dividing the top and bottom by the highest common factor (in this case 25), so we get

$dfrac{75}{100} div dfrac{25}{25} = dfrac{3}{4}$

Converting Decimals to Fractions (Example #1)

Converting Decimals to Fractions (Example #2)

Converting Decimals to Fractions (Example #3)

Converting Decimals to Fractions (Example #4)