9/31 as a Decimal
9/31 as a decimal expansion provides the detailed information about what is 9/31 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
9/31 as a Decimal Expansion
9/31 = 0.2903
Hence,
9/31 as a decimal equals to 0.2903
where,
9/31 is a given fraction,
The decimal expansion of 9/31 is 0.2903
9/31 as a Mixed Number
The given fraction 9/31 can't be represented as a mixed number since the numerator 9 of the given fraction is smaller than the denominator 31.
How-to: 9/31 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 9/31 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 9/31
What to be found:
Find the decimal expansion of fraction 9/31.
step 2 The numerator is smaller than the denominator of the fraction 9/31, 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 9/31.
= 9/31 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 9/31 x 1/100
= 900/31 x 1/100
step 4 Simplify the above expression further:
= 900/31 x 1/100
= 899 + 1/31 x 1/100
= ( 899/31 + 1/31) x 1/100
= (29 + 1/31 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 1/31 in the above expression:
= (29 + 1/31 ) x 1/100
= (29 + 0.032) x 1/100
step 6 Simplify the above expression further:
= (29 + 0.032) x 1/100
= 29.032 x 1/100
= 29.032/100
9/31= 0.29032
Hence,
9/31 as a decimal is 0.29032
