If there are multiple repeating numbers that repeat in a pattern, then multiply by 10 until the repeating pattern is on the left side of the decimal point.Convert a decimal number to a fraction using our calculator by entering a decimal value below.The calculator shows all the work in the solution so you can see each step.The greatest common factor of 75 and 100 is 25 Divide the numerator and denominator by the greatest common factor (25) 75 25 100 25 3 4.
Decimal and fractional numbers both represent a number that is not an even integer or a number that is not a whole number. Every decimal number can be converted to a fraction in just three easy steps. Note that the process of converting a repeating decimal is different. The first step in transforming a decimal to a fraction is creating a starting fraction with the decimal as the top number and 1 as the bottom number. The next step is to multiply the numerator and the denominator by 10 to eliminate the decimal place. ![]() Continuing the example from above, lets convert.75 1 to 75 100. The final step in converting a decimal to a fraction is to reduce or simplify the fraction. To reduce, find the greatest common factor for the numerator and denominator. Then, divide both the numerator and the denominator by the greatest common factor. To complete the example above, we know that the greatest common factor of 75 and 100 is 25. So, lets divide the numerator and denominator by 25 to solve the reduced fraction. Heres a tip: use our fraction simplifier to easily reduce your fraction. For negative numbers, remove the negative symbol from the starting decimal, then follow the steps above. After converting to fraction form, add the negative sign back. Repeating decimal numbers require a slightly different process to convert to a fraction. A repeating decimal is a decimal number that continues infinitely, such as 1.1787878. These numbers are usually expressed in a rounded form, such as.788, or with an over-bar like this: 1.1 78. The first step in transforming a repeating decimal is to create an algebraic equation to represent the decimal. Start by creating an equation to assign the expression 1.1787878 to x. The second step is to continue multiplying both sides of the equation by 10 until the repeating number is on the left side of the decimal point.
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