167/263 as a decimal expansion provides the detailed information about what is 167/263 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
167/263 as a Decimal
167/263 = 0.635
Hence,
167/263 as a decimal equals to 0.635
where,
167/263 is a given fraction,
The decimal expansion of 167/263 is 0.635
167/263 as a Mixed Number
The given fraction 167/263 can't be represented as a mixed number since the numerator 167 of the given fraction is smaller than the denominator 263.
The below work with steps provide the detailed information about how to convert fraction 167/263 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 167/263
What to be found:
Find the decimal expansion of fraction 167/263.
step 2 The numerator is smaller than the denominator of the fraction 167/263, 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 167/263.
= 167/263 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 167/263 x 1/10
= 1670/263 x 1/10
step 4 Simplify the above expression further:
= 1670/263 x 1/10
= 1578 + 92/263 x 1/10
= ( 1578/263 + 92/263) x 1/10
= (6 + 92/263 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 92/263 in the above expression:
= (6 + 92/263 ) x 1/10
= (6 + 0.35) x 1/10
step 6 Simplify the above expression further:
= (6 + 0.35) x 1/10
= 6.35 x 1/10
= 6.35/10
167/263= 0.635
Hence,
167/263 as a decimal is 0.635