6/46 as a Decimal

6/46 as a decimal expansion provides the detailed information about what is 6/46 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

6/46 as a Decimal
6/46 = 0.1304
Hence,
6/46 as a decimal equals to 0.1304
where,
6/46 is a given fraction,
The decimal expansion of 6/46 is 0.1304

6/46 as a Mixed Number
The given fraction 6/46 can't be represented as a mixed number since the numerator 6 of the given fraction is smaller than the denominator 46.

The below work with steps provide the detailed information about how to convert fraction 6/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 6/46

What to be found:
Find the decimal expansion of fraction 6/46.

step 2 The numerator is smaller than the denominator of the fraction 6/46, 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 6/46.
= 6/46 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 6/46 x 1/100
= 600/46 x 1/100

step 4 Simplify the above expression further:
= 600/46 x 1/100
= 598 + 2/46 x 1/100
= ( 598/46 + 2/46) x 1/100
= (13 + 2/46 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 2/46 in the above expression:
= (13 + 2/46 ) x 1/100
= (13 + 0.043) x 1/100

step 6 Simplify the above expression further:
= (13 + 0.043) x 1/100
= 13.043 x 1/100
= 13.043/100
6/46= 0.13043

Hence,
6/46 as a decimal is 0.13043