26/47 as a Decimal
26/47 as a decimal expansion provides the detailed information about what is 26/47 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
26/47 as a Decimal Expansion
26/47 = 0.5532
Hence,
26/47 as a decimal equals to 0.5532
where,
26/47 is a given fraction,
The decimal expansion of 26/47 is 0.5532
26/47 as a Mixed Number
The given fraction 26/47 can't be represented as a mixed number since the numerator 26 of the given fraction is smaller than the denominator 47.
How-to: 26/47 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 26/47 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 26/47
What to be found:
Find the decimal expansion of fraction 26/47.
step 2 The numerator is smaller than the denominator of the fraction 26/47, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 26/47.
= 26/47 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 26/47 x 1/10
= 260/47 x 1/10
step 4 Simplify the above expression further:
= 260/47 x 1/10
= 235 + 25/47 x 1/10
= ( 235/47 + 25/47) x 1/10
= (5 + 25/47 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 25/47 in the above expression:
= (5 + 25/47 ) x 1/10
= (5 + 0.532) x 1/10
step 6 Simplify the above expression further:
= (5 + 0.532) x 1/10
= 5.532 x 1/10
= 5.532/10
26/47= 0.5532
Hence,
26/47 as a decimal is 0.5532
