40/165 as a Decimal

40/165 as a decimal expansion provides the detailed information about what is 40/165 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

40/165 as a Decimal
40/165 = 0.2424
Hence,
40/165 as a decimal equals to 0.2424
where,
40/165 is a given fraction,
The decimal expansion of 40/165 is 0.2424

40/165 as a Mixed Number
The given fraction 40/165 can't be represented as a mixed number since the numerator 40 of the given fraction is smaller than the denominator 165.

The below work with steps provide the detailed information about how to convert fraction 40/165 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 40/165

What to be found:
Find the decimal expansion of fraction 40/165.

step 2 The numerator is smaller than the denominator of the fraction 40/165, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 40/165.
= 40/165 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 40/165 x 1/100
= 4000/165 x 1/100

step 4 Simplify the above expression further:
= 4000/165 x 1/100
= 3960 + 40/165 x 1/100
= ( 3960/165 + 40/165) x 1/100
= (24 + 40/165 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 40/165 in the above expression:
= (24 + 40/165 ) x 1/100
= (24 + 0.242) x 1/100

step 6 Simplify the above expression further:
= (24 + 0.242) x 1/100
= 24.242 x 1/100
= 24.242/100
40/165= 0.24242

Hence,
40/165 as a decimal is 0.24242