352/72 as a Decimal and Mixed Number

352/72 as a decimal and mixed number expansion provides the detailed information about what is 352/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

352/72 as a Decimal
352/72 = 4.8889
Hence,
352/72 as a decimal equals to 4.8889
where,
352/72 is a given fraction,
The decimal expansion of 352/72 is 4.8889

352/72 as a Mixed Number
352/72 = (288 + 64)/72
= 288/72 + 64/72
= 4 + 64/72
= 4 64/72
352/72 = 4 64/72

Hence,
352/72 as a mixed number is 4 ⁶⁴/₇₂
where,
352/72 is a given fraction,
4 ⁶⁴/₇₂ is the mixed number representation of 352/72.

The below work with steps provide the detailed information about how to convert fraction 352/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 352/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 352/72.

step 2 The numerator is greater than the denominator of the fraction 352/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 352/72
= 288 + 64/72
= (4 x 72) + 64/72

step 3 Make the above expression as individual fractions:
= (4 x 72)/72 + 64/72

step 4 Simplify the above expression:
= 4 x 72/72 + 64/72
= 4 + 64/72
= 4 + 8 x 8/9 x 8
= 4 + 8/9
4 + 8/9 can be written as a mixed number 4 ⁸/₉.


step 5 Find the decimal equivalent for the fractional part 8/9 in the above expression:
= 4 + 0.8889
= 4.8889
352/72 = 4.8889

Hence,
352/72 as a decimal is 4.8889
352/72 as a mixed number is 4 ⁸/₉