130/330 as a Decimal

130/330 as a decimal expansion provides the detailed information about what is 130/330 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

130/330 as a Decimal
130/330 = 0.3939
Hence,
130/330 as a decimal equals to 0.3939
where,
130/330 is a given fraction,
The decimal expansion of 130/330 is 0.3939

130/330 as a Mixed Number
The given fraction 130/330 can't be represented as a mixed number since the numerator 130 of the given fraction is smaller than the denominator 330.

The below work with steps provide the detailed information about how to convert fraction 130/330 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 130/330

What to be found:
Find the decimal expansion of fraction 130/330.

step 2 The numerator is smaller than the denominator of the fraction 130/330, 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 130/330.
= 130/330 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 130/330 x 1/10
= 1300/330 x 1/10

step 4 Simplify the above expression further:
= 1300/330 x 1/10
= 990 + 310/330 x 1/10
= ( 990/330 + 310/330) x 1/10
= (3 + 310/330 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 310/330 in the above expression:
= (3 + 310/330 ) x 1/10
= (3 + 0.939) x 1/10

step 6 Simplify the above expression further:
= (3 + 0.939) x 1/10
= 3.939 x 1/10
= 3.939/10
130/330= 0.3939

Hence,
130/330 as a decimal is 0.3939