167/352 as a decimal expansion provides the detailed information about what is 167/352 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
167/352 as a Decimal
167/352 = 0.4744
Hence,
167/352 as a decimal equals to 0.4744
where,
167/352 is a given fraction,
The decimal expansion of 167/352 is 0.4744
167/352 as a Mixed Number
The given fraction 167/352 can't be represented as a mixed number since the numerator 167 of the given fraction is smaller than the denominator 352.
The below work with steps provide the detailed information about how to convert fraction 167/352 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 167/352
What to be found:
Find the decimal expansion of fraction 167/352.
step 2 The numerator is smaller than the denominator of the fraction 167/352, 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 167/352.
= 167/352 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 167/352 x 1/10
= 1670/352 x 1/10
step 4 Simplify the above expression further:
= 1670/352 x 1/10
= 1408 + 262/352 x 1/10
= ( 1408/352 + 262/352) x 1/10
= (4 + 262/352 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 262/352 in the above expression:
= (4 + 262/352 ) x 1/10
= (4 + 0.744) x 1/10
step 6 Simplify the above expression further:
= (4 + 0.744) x 1/10
= 4.744 x 1/10
= 4.744/10
167/352= 0.4744
Hence,
167/352 as a decimal is 0.4744