160/72 as a Decimal and Mixed Number

160/72 as a decimal and mixed number expansion provides the detailed information about what is 160/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

160/72 as a Decimal
160/72 = 2.2222
Hence,
160/72 as a decimal equals to 2.2222
where,
160/72 is a given fraction,
The decimal expansion of 160/72 is 2.2222

160/72 as a Mixed Number
160/72 = (144 + 16)/72
= 144/72 + 16/72
= 2 + 16/72
= 2 16/72
160/72 = 2 16/72

Hence,
160/72 as a mixed number is 2 ¹⁶/₇₂
where,
160/72 is a given fraction,
2 ¹⁶/₇₂ is the mixed number representation of 160/72.

The below work with steps provide the detailed information about how to convert fraction 160/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/72.

step 2 The numerator is greater than the denominator of the fraction 160/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/72
= 144 + 16/72
= (2 x 72) + 16/72

step 3 Make the above expression as individual fractions:
= (2 x 72)/72 + 16/72

step 4 Simplify the above expression:
= 2 x 72/72 + 16/72
= 2 + 16/72
= 2 + 2 x 8/9 x 8
= 2 + 2/9
2 + 2/9 can be written as a mixed number 2 ²/₉.


step 5 Find the decimal equivalent for the fractional part 2/9 in the above expression:
= 2 + 0.2222
= 2.2222
160/72 = 2.2222

Hence,
160/72 as a decimal is 2.2222
160/72 as a mixed number is 2 ²/₉