296/72 as a Decimal and Mixed Number

296/72 as a decimal and mixed number expansion provides the detailed information about what is 296/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

296/72 as a Decimal
296/72 = 4.1111
Hence,
296/72 as a decimal equals to 4.1111
where,
296/72 is a given fraction,
The decimal expansion of 296/72 is 4.1111

296/72 as a Mixed Number
296/72 = (288 + 8)/72
= 288/72 + 8/72
= 4 + 8/72
= 4 8/72
296/72 = 4 8/72

Hence,
296/72 as a mixed number is 4 ⁸/₇₂
where,
296/72 is a given fraction,
4 ⁸/₇₂ is the mixed number representation of 296/72.

The below work with steps provide the detailed information about how to convert fraction 296/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 296/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 296/72.

step 2 The numerator is greater than the denominator of the fraction 296/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 296/72
= 288 + 8/72
= (4 x 72) + 8/72

step 3 Make the above expression as individual fractions:
= (4 x 72)/72 + 8/72

step 4 Simplify the above expression:
= 4 x 72/72 + 8/72
= 4 + 8/72
= 4 + 1 x 8/9 x 8
= 4 + 1/9
4 + 1/9 can be written as a mixed number 4 ¹/₉.


step 5 Find the decimal equivalent for the fractional part 1/9 in the above expression:
= 4 + 0.1111
= 4.1111
296/72 = 4.1111

Hence,
296/72 as a decimal is 4.1111
296/72 as a mixed number is 4 ¹/₉