167/7 as a Decimal and Mixed Number

167/7 as a decimal and mixed number expansion provides the detailed information about what is 167/7 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

167/7 as a Decimal
167/7 = 23.8571
Hence,
167/7 as a decimal equals to 23.8571
where,
167/7 is a given fraction,
The decimal expansion of 167/7 is 23.8571

167/7 as a Mixed Number
167/7 = (161 + 6)/7
= 161/7 + 6/7
= 23 + 6/7
= 23 6/7
167/7 = 23 6/7

Hence,
167/7 as a mixed number is 23 ⁶/₇
where,
167/7 is a given fraction,
23 ⁶/₇ is the mixed number representation of 167/7.

The below work with steps provide the detailed information about how to convert fraction 167/7 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 167/7

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 167/7.

step 2 The numerator is greater than the denominator of the fraction 167/7, so write the given fraction in the expression form in terms of denominator as like the below:
= 167/7
= 161 + 6/7
= (23 x 7) + 6/7

step 3 Make the above expression as individual fractions:
= (23 x 7)/7 + 6/7

step 4 Simplify the above expression:
= 23 x 7/7 + 6/7
= 23 + 6/7
23 + 6/7 can be written as a mixed number 23 ⁶/₇.


step 5 Find the decimal equivalent for the fractional part 6/7 in the above expression:
= 23 + 0.8571
= 23.8571
167/7 = 23.8571

Hence,
167/7 as a decimal is 23.8571
167/7 as a mixed number is 23 ⁶/₇