1/130 as a decimal expansion provides the detailed information about what is 1/130 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
1/130 as a Decimal
1/130 = 0.0077
Hence,
1/130 as a decimal equals to 0.0077
where,
1/130 is a given fraction,
The decimal expansion of 1/130 is 0.0077
1/130 as a Mixed Number
The given fraction 1/130 can't be represented as a mixed number since the numerator 1 of the given fraction is smaller than the denominator 130.
The below work with steps provide the detailed information about how to convert fraction 1/130 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 1/130
What to be found:
Find the decimal expansion of fraction 1/130.
step 2 The numerator is smaller than the denominator of the fraction 1/130, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 2 more digits than the numerator, multiply 1000 with both numerator and denominator of 1/130.
= 1/130 x 1000/1000
step 3 Rearrange the fraction as like the below:
= 1000/130 x 1/1000
step 4 Simplify the above expression further:
= 1000/130 x 1/1000
= 910 + 90/130 x 1/1000
= ( 910/130 + 90/130) x 1/1000
= (7 + 90/130 ) x 1/1000
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 90/130 in the above expression:
= (7 + 90/130 ) x 1/1000
= (7 + 0.692) x 1/1000
step 6 Simplify the above expression further:
= (7 + 0.692) x 1/1000
= 7.692 x 1/1000
= 7.692/1000
1/130= 0.007692
Hence,
1/130 as a decimal is 0.007692