24/236 as a decimal expansion provides the detailed information about what is 24/236 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
24/236 as a Decimal
24/236 = 0.1017
Hence,
24/236 as a decimal equals to 0.1017
where,
24/236 is a given fraction,
The decimal expansion of 24/236 is 0.1017
24/236 as a Mixed Number
The given fraction 24/236 can't be represented as a mixed number since the numerator 24 of the given fraction is smaller than the denominator 236.
The below work with steps provide the detailed information about how to convert fraction 24/236 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 24/236
What to be found:
Find the decimal expansion of fraction 24/236.
step 2 The numerator is smaller than the denominator of the fraction 24/236, 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 24/236.
= 24/236 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 24/236 x 1/100
= 2400/236 x 1/100
step 4 Simplify the above expression further:
= 2400/236 x 1/100
= 2360 + 40/236 x 1/100
= ( 2360/236 + 40/236) x 1/100
= (10 + 40/236 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 40/236 in the above expression:
= (10 + 40/236 ) x 1/100
= (10 + 0.169) x 1/100
step 6 Simplify the above expression further:
= (10 + 0.169) x 1/100
= 10.169 x 1/100
= 10.169/100
24/236= 0.10169
Hence,
24/236 as a decimal is 0.10169