13/34 as a Decimal
13/34 as a decimal expansion provides the detailed information about what is 13/34 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
13/34 as a Decimal Expansion
13/34 = 0.3824
Hence,
13/34 as a decimal equals to 0.3824
where,
13/34 is a given fraction,
The decimal expansion of 13/34 is 0.3824
13/34 as a Mixed Number
The given fraction 13/34 can't be represented as a mixed number since the numerator 13 of the given fraction is smaller than the denominator 34.
How-to: 13/34 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 13/34 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 13/34
What to be found:
Find the decimal expansion of fraction 13/34.
step 2 The numerator is smaller than the denominator of the fraction 13/34, 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 13/34.
= 13/34 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 13/34 x 1/10
= 130/34 x 1/10
step 4 Simplify the above expression further:
= 130/34 x 1/10
= 102 + 28/34 x 1/10
= ( 102/34 + 28/34) x 1/10
= (3 + 28/34 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 28/34 in the above expression:
= (3 + 28/34 ) x 1/10
= (3 + 0.824) x 1/10
step 6 Simplify the above expression further:
= (3 + 0.824) x 1/10
= 3.824 x 1/10
= 3.824/10
13/34= 0.3824
Hence,
13/34 as a decimal is 0.3824
