320/72 as a Decimal and Mixed Number

320/72 as a decimal and mixed number expansion provides the detailed information about what is 320/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/72 as a Decimal
320/72 = 4.4444
Hence,
320/72 as a decimal equals to 4.4444
where,
320/72 is a given fraction,
The decimal expansion of 320/72 is 4.4444

320/72 as a Mixed Number
320/72 = (288 + 32)/72
= 288/72 + 32/72
= 4 + 32/72
= 4 32/72
320/72 = 4 32/72

Hence,
320/72 as a mixed number is 4 ³²/₇₂
where,
320/72 is a given fraction,
4 ³²/₇₂ is the mixed number representation of 320/72.

The below work with steps provide the detailed information about how to convert fraction 320/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/72.

step 2 The numerator is greater than the denominator of the fraction 320/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/72
= 288 + 32/72
= (4 x 72) + 32/72

step 3 Make the above expression as individual fractions:
= (4 x 72)/72 + 32/72

step 4 Simplify the above expression:
= 4 x 72/72 + 32/72
= 4 + 32/72
= 4 + 4 x 8/9 x 8
= 4 + 4/9
4 + 4/9 can be written as a mixed number 4 ⁴/₉.


step 5 Find the decimal equivalent for the fractional part 4/9 in the above expression:
= 4 + 0.4444
= 4.4444
320/72 = 4.4444

Hence,
320/72 as a decimal is 4.4444
320/72 as a mixed number is 4 ⁴/₉