160/23 as a Decimal and Mixed Number

160/23 as a decimal and mixed number expansion provides the detailed information about what is 160/23 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

160/23 as a Decimal
160/23 = 6.9565
Hence,
160/23 as a decimal equals to 6.9565
where,
160/23 is a given fraction,
The decimal expansion of 160/23 is 6.9565

160/23 as a Mixed Number
160/23 = (138 + 22)/23
= 138/23 + 22/23
= 6 + 22/23
= 6 22/23
160/23 = 6 22/23

Hence,
160/23 as a mixed number is 6 ²²/₂₃
where,
160/23 is a given fraction,
6 ²²/₂₃ is the mixed number representation of 160/23.

The below work with steps provide the detailed information about how to convert fraction 160/23 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/23

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/23.

step 2 The numerator is greater than the denominator of the fraction 160/23, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/23
= 138 + 22/23
= (6 x 23) + 22/23

step 3 Make the above expression as individual fractions:
= (6 x 23)/23 + 22/23

step 4 Simplify the above expression:
= 6 x 23/23 + 22/23
= 6 + 22/23
6 + 22/23 can be written as a mixed number 6 ²²/₂₃.


step 5 Find the decimal equivalent for the fractional part 22/23 in the above expression:
= 6 + 0.9565
= 6.9565
160/23 = 6.9565

Hence,
160/23 as a decimal is 6.9565
160/23 as a mixed number is 6 ²²/₂₃