Question

How do you decide what numbers to use as the numerator and the denominator in each equivalent fraction to the given decimal?

Answer 1

Answer:

For denominator the number of digits after the decimal are counted to find the multiple of 10s.

The numerator is the decimal number digits with the decimal removed.

Step-by-step explanation:

The given number of the decimal is used as the numerator and the denominator of the decimal always has to be 10 or a multiple of 10 depending on the position of the decimal point.

For example if we have a number 4.3

The numerator will be 43( the decimal is removed) and the denominator will be 10 because in the original decimal number 4.3 the decimal was before only 1 number that is 3.

Now take the example of 4.36

The numerator will be 436 ( the decimal is removed) and the denominator will be 100 ( 10 *10 = 100) because in the original decimal number 4.3 the decimal was before 2 number that is 3 and 6.

so the fraction will be 436/100

Now if we divide 436 by 100 we will get the same answer as the original number

100√436         4.36

        400

          360

          300

            600

          600

          xxx    

The same process is applied to bigger numbers such as 4.365 and so on.

If we have a number 43.6 the numerator will be 436 ( the decimal is removed) and the denominator will be 10 because in the original decimal number 43.6 the decimal was before 1 number that is 6.

so the fraction will be 436/10

If we have a number 436.5  the numerator will be 4365 ( the decimal is removed) and the denominator will be 10 because in the original decimal number 436.5 the decimal was before 1 number that is 5.

so the fraction will be 4365/10

For denominator the number of digits after the decimal are counted to find the multiple of 10s.

The numerator is the decimal number digits with the decimal removed.