How to Convert Fractions to Decimals Without Long Division Part-01 | Decimals | Mathoguide

In this Video you will learn that "How to Convert Fractions to Decimals Without Long Division | Fractions and Decimals Part-01 by Mathoguide"
Converting fractions to decimals is representing a fraction as a decimal without changing its value.
Find a number you can multiply by the denominator of the fraction to make it 10, 100, 1000 or any 1 followed by 0s. This can be an easy way to change a common fraction to a decimal without using your calculator or doing long division. First, you simply have to find a way to multiply the denominator of the fraction to get either a 10, 100, 1000, and so on. You can find this number by trying to divide the denominator first by 10, then by 100, then by 1000, until you find a whole number. Here are some examples:[8]
3/5. 10/5 = 2, which is a full number. You know you can multiply 5 x 2 to get 10, so 2 will be your magic number.
3/4. 10/4 = 2.5, so that's not a full number, but 100/4 = 25, which is a full number. So, now you know you can multiply 4 by 25 to get 100, so 25 will be the number you use.
5/16. 10/16 = .625, 100/16 = 6.25, 1000/16 = 62.5, 10,000/16 = 625, which is your first full number. So, now you know you can multiply 16 by 625 to get 10,000, so 625 is your magic number.
#fractiontodecimals #decimals #fractionsanddecimals #mathoguide