159/23 as a Decimal and Mixed Number

159/23 as a decimal and mixed number expansion provides the detailed information about what is 159/23 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

159/23 as a Decimal
159/23 = 6.913
Hence,
159/23 as a decimal equals to 6.913
where,
159/23 is a given fraction,
The decimal expansion of 159/23 is 6.913

159/23 as a Mixed Number
159/23 = (138 + 21)/23
= 138/23 + 21/23
= 6 + 21/23
= 6 21/23
159/23 = 6 21/23

Hence,
159/23 as a mixed number is 6 ²¹/₂₃
where,
159/23 is a given fraction,
6 ²¹/₂₃ is the mixed number representation of 159/23.

The below work with steps provide the detailed information about how to convert fraction 159/23 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 159/23

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 159/23.

step 2 The numerator is greater than the denominator of the fraction 159/23, so write the given fraction in the expression form in terms of denominator as like the below:
= 159/23
= 138 + 21/23
= (6 x 23) + 21/23

step 3 Make the above expression as individual fractions:
= (6 x 23)/23 + 21/23

step 4 Simplify the above expression:
= 6 x 23/23 + 21/23
= 6 + 21/23
6 + 21/23 can be written as a mixed number 6 ²¹/₂₃.


step 5 Find the decimal equivalent for the fractional part 21/23 in the above expression:
= 6 + 0.913
= 6.913
159/23 = 6.913

Hence,
159/23 as a decimal is 6.913
159/23 as a mixed number is 6 ²¹/₂₃