107/165 as a Decimal

107/165 as a decimal expansion provides the detailed information about what is 107/165 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

107/165 as a Decimal
107/165 = 0.6485
Hence,
107/165 as a decimal equals to 0.6485
where,
107/165 is a given fraction,
The decimal expansion of 107/165 is 0.6485

107/165 as a Mixed Number
The given fraction 107/165 can't be represented as a mixed number since the numerator 107 of the given fraction is smaller than the denominator 165.

The below work with steps provide the detailed information about how to convert fraction 107/165 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 107/165

What to be found:
Find the decimal expansion of fraction 107/165.

step 2 The numerator is smaller than the denominator of the fraction 107/165, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 107/165.
= 107/165 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 107/165 x 1/10
= 1070/165 x 1/10

step 4 Simplify the above expression further:
= 1070/165 x 1/10
= 990 + 80/165 x 1/10
= ( 990/165 + 80/165) x 1/10
= (6 + 80/165 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 80/165 in the above expression:
= (6 + 80/165 ) x 1/10
= (6 + 0.485) x 1/10

step 6 Simplify the above expression further:
= (6 + 0.485) x 1/10
= 6.485 x 1/10
= 6.485/10
107/165= 0.6485

Hence,
107/165 as a decimal is 0.6485