8/23 as a Decimal
8/23 as a decimal expansion provides the detailed information about what is 8/23 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
8/23 as a Decimal Expansion
8/23 = 0.3478
Hence,
8/23 as a decimal equals to 0.3478
where,
8/23 is a given fraction,
The decimal expansion of 8/23 is 0.3478
8/23 as a Mixed Number
The given fraction 8/23 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 23.
How-to: 8/23 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 8/23 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 8/23
What to be found:
Find the decimal expansion of fraction 8/23.
step 2 The numerator is smaller than the denominator of the fraction 8/23, 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 8/23.
= 8/23 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 8/23 x 1/100
= 800/23 x 1/100
step 4 Simplify the above expression further:
= 800/23 x 1/100
= 782 + 18/23 x 1/100
= ( 782/23 + 18/23) x 1/100
= (34 + 18/23 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 18/23 in the above expression:
= (34 + 18/23 ) x 1/100
= (34 + 0.783) x 1/100
step 6 Simplify the above expression further:
= (34 + 0.783) x 1/100
= 34.783 x 1/100
= 34.783/100
8/23= 0.34783
Hence,
8/23 as a decimal is 0.34783
