43/162 as a decimal expansion provides the detailed information about what is 43/162 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
43/162 as a Decimal Expansion
43/162 = 0.2654
Hence,
43/162 as a decimal equals to 0.2654
where,
43/162 is a given fraction,
The decimal expansion of 43/162 is 0.2654
43/162 as a Mixed Number
The given fraction 43/162 can't be represented as a mixed number since the numerator 43 of the given fraction is smaller than the denominator 162.
The below work with steps provide the detailed information about how to convert fraction 43/162 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 43/162
What to be found:
Find the decimal expansion of fraction 43/162.
step 2 The numerator is smaller than the denominator of the fraction 43/162, 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 43/162.
= 43/162 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 43/162 x 1/100
= 4300/162 x 1/100
step 4 Simplify the above expression further:
= 4300/162 x 1/100
= 4212 + 88/162 x 1/100
= ( 4212/162 + 88/162) x 1/100
= (26 + 88/162 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 88/162 in the above expression:
= (26 + 88/162 ) x 1/100
= (26 + 0.543) x 1/100
step 6 Simplify the above expression further:
= (26 + 0.543) x 1/100
= 26.543 x 1/100
= 26.543/100
43/162= 0.26543
Hence,
43/162 as a decimal is 0.26543