00:00in this video we are going to discuss that how to convert fractions into decimals without using
00:07long division so it's very easy for example we have a simple fraction i have one upon two this
00:15is called fraction if we want to convert it into a decimal without a long division so we have to
00:22make its denominator as power of 10 now you can see that if i multiply the denominator with 5 then
00:31we can get 10 in the denominator so if we multiply 5 in the denominator then we have to multiply same
00:40number in the numerator so 1 times 5 divided by 2 times 5 it will become 1 times 5 is 5 and divide by
00:49mean denominator 2 times 5 is 10 so now you can see that we have the fraction 5 upon 10
00:56and now we can convert it into decimal very easily what is the method instead of first zero we have
01:03to replace this digit 5 we have first zero and we have one digit 5 and then you can see that we have
01:10one in the denominator so we can put decimal point instead of one and then we have no digit on the
01:16left of five so we can put here zero so our answer is 0.5 mean 1 upon 2 is equal to 0.5 so similarly we
01:25can convert 1 upon 4 into decimal without long division so you can see that what number should
01:33be multiplied with 4 to make it power of 10 so you know that 4 times 25 is 100 so we can multiply
01:42and both number numerator and denominator with the 25 to get denominator as power of 10 mean 100 so now
01:50we get 4 times 25 that is 100 and in the numerator we have 1 times 25 that is 25 so now with the same
01:58procedure same method as we've done here on the place of first zero we add first digit from the right
02:03side that is 5 and on the place of second zero we can write second digit 2 and then we have 1 so we can
02:11put decimal point here and then we have no digit here so we can put here 0 so 1 upon 4 is equal to
02:170.25 similarly we can do another if we have fraction as 1 upon 5 so now you can see that we have to make
02:26denominator as power of 10 so we can make it easily when we multiply 5 with 2 so 5 times 2 is 10 that is
02:34power of 10 so we can write 1 times 2 and 5 times 2 so we have 2 in numerator and 10 in denominator so 2 upon
02:4410 and then with the same procedure in the place of 0 we can write 2 and then in the place of 1 we can
02:51write decimal point and we have no digit on the left of 2 so we can write here 0.
