47/110 as a decimal expansion provides the detailed information about what is 47/110 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
47/110 as a Decimal
47/110 = 0.4273
Hence,
47/110 as a decimal equals to 0.4273
where,
47/110 is a given fraction,
The decimal expansion of 47/110 is 0.4273
47/110 as a Mixed Number
The given fraction 47/110 can't be represented as a mixed number since the numerator 47 of the given fraction is smaller than the denominator 110.
The below work with steps provide the detailed information about how to convert fraction 47/110 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 47/110
What to be found:
Find the decimal expansion of fraction 47/110.
step 2 The numerator is smaller than the denominator of the fraction 47/110, 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 47/110.
= 47/110 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 47/110 x 1/100
= 4700/110 x 1/100
step 4 Simplify the above expression further:
= 4700/110 x 1/100
= 4620 + 80/110 x 1/100
= ( 4620/110 + 80/110) x 1/100
= (42 + 80/110 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 80/110 in the above expression:
= (42 + 80/110 ) x 1/100
= (42 + 0.727) x 1/100
step 6 Simplify the above expression further:
= (42 + 0.727) x 1/100
= 42.727 x 1/100
= 42.727/100
47/110= 0.42727
Hence,
47/110 as a decimal is 0.42727