5/14 as a decimal expansion provides the detailed information about what is 5/14 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
5/14 as a Decimal Expansion
5/14 = 0.3571
Hence,
5/14 as a decimal equals to 0.3571
where,
5/14 is a given fraction,
The decimal expansion of 5/14 is 0.3571
5/14 as a Mixed Number
The given fraction 5/14 can't be represented as a mixed number since the numerator 5 of the given fraction is smaller than the denominator 14.
The below work with steps provide the detailed information about how to convert fraction 5/14 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 5/14
What to be found:
Find the decimal expansion of fraction 5/14.
step 2 The numerator is smaller than the denominator of the fraction 5/14, 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 5/14.
= 5/14 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 5/14 x 1/100
= 500/14 x 1/100
step 4 Simplify the above expression further:
= 500/14 x 1/100
= 490 + 10/14 x 1/100
= ( 490/14 + 10/14) x 1/100
= (35 + 10/14 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 10/14 in the above expression:
= (35 + 10/14 ) x 1/100
= (35 + 0.714) x 1/100
step 6 Simplify the above expression further:
= (35 + 0.714) x 1/100
= 35.714 x 1/100
= 35.714/100
5/14= 0.35714
Hence,
5/14 as a decimal is 0.35714