298/331 as a Decimal
298/331 as a decimal expansion provides the detailed information about what is 298/331 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
298/331 as a Decimal
298/331 = 0.9003
Hence,
298/331 as a decimal equals to 0.9003
where,
298/331 is a given fraction,
The decimal expansion of 298/331 is 0.9003
298/331 as a Mixed Number
The given fraction 298/331 can't be represented as a mixed number since the numerator 298 of the given fraction is smaller than the denominator 331.
How-to: 298/331 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 298/331 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 298/331
What to be found:
Find the decimal expansion of fraction 298/331.
step 2 The numerator is smaller than the denominator of the fraction 298/331, 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 298/331.
= 298/331 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 298/331 x 1/10
= 2980/331 x 1/10
step 4 Simplify the above expression further:
= 2980/331 x 1/10
= 2979 + 1/331 x 1/10
= ( 2979/331 + 1/331) x 1/10
= (9 + 1/331 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 1/331 in the above expression:
= (9 + 1/331 ) x 1/10
= (9 + 0.003) x 1/10
step 6 Simplify the above expression further:
= (9 + 0.003) x 1/10
= 9.003 x 1/10
= 9.003/10
298/331= 0.9003
Hence,
298/331 as a decimal is 0.9003