1/30 as a Decimal
1/30 as a decimal expansion provides the detailed information about what is 1/30 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
1/30 as a Decimal Expansion
1/30 = 0.0333
Hence,
1/30 as a decimal equals to 0.0333
where,
1/30 is a given fraction,
The decimal expansion of 1/30 is 0.0333
1/30 as a Mixed Number
The given fraction 1/30 can't be represented as a mixed number since the numerator 1 of the given fraction is smaller than the denominator 30.
How-to: 1/30 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 1/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 1/30
What to be found:
Find the decimal expansion of fraction 1/30.
step 2 The numerator is smaller than the denominator of the fraction 1/30, 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 1/30.
= 1/30 x 100/100
step 3 Rearrange the fraction as like the below:
= 100/30 x 1/100
step 4 Simplify the above expression further:
= 100/30 x 1/100
= 90 + 10/30 x 1/100
= ( 90/30 + 10/30) x 1/100
= (3 + 10/30 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 10/30 in the above expression:
= (3 + 10/30 ) x 1/100
= (3 + 0.333) x 1/100
step 6 Simplify the above expression further:
= (3 + 0.333) x 1/100
= 3.333 x 1/100
= 3.333/100
1/30= 0.03333
Hence,
1/30 as a decimal is 0.03333
