8/43 as a Decimal

8/43 as a decimal expansion provides the detailed information about what is 8/43 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
8/43 as a Decimal Expansion
8/43 = 0.186
Hence,
8/43 as a decimal equals to 0.186
where,
8/43 is a given fraction,
The decimal expansion of 8/43 is 0.186
8/43 as a Mixed Number
The given fraction 8/43 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 43.
How-to: 8/43 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 8/43 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 8/43
What to be found:
Find the decimal expansion of fraction 8/43.
step 2 The numerator is smaller than the denominator of the fraction 8/43, 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 8/43.
= 8/43 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 8/43 x 1/100
= 800/43 x 1/100
step 4 Simplify the above expression further:
= 800/43 x 1/100
= 774 + 26/43 x 1/100
= ( 774/43 + 26/43) x 1/100
= (18 + 26/43 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 26/43 in the above expression:
= (18 + 26/43 ) x 1/100
= (18 + 0.605) x 1/100
step 6 Simplify the above expression further:
= (18 + 0.605) x 1/100
= 18.605 x 1/100
= 18.605/100
8/43= 0.18605
Hence,
8/43 as a decimal is 0.18605
