310/72 as a Decimal and Mixed Number

310/72 as a decimal and mixed number expansion provides the detailed information about what is 310/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

310/72 as a Decimal
310/72 = 4.3056
Hence,
310/72 as a decimal equals to 4.3056
where,
310/72 is a given fraction,
The decimal expansion of 310/72 is 4.3056

310/72 as a Mixed Number
310/72 = (288 + 22)/72
= 288/72 + 22/72
= 4 + 22/72
= 4 22/72
310/72 = 4 22/72

Hence,
310/72 as a mixed number is 4 ²²/₇₂
where,
310/72 is a given fraction,
4 ²²/₇₂ is the mixed number representation of 310/72.

The below work with steps provide the detailed information about how to convert fraction 310/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 310/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 310/72.

step 2 The numerator is greater than the denominator of the fraction 310/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 310/72
= 288 + 22/72
= (4 x 72) + 22/72

step 3 Make the above expression as individual fractions:
= (4 x 72)/72 + 22/72

step 4 Simplify the above expression:
= 4 x 72/72 + 22/72
= 4 + 22/72
= 4 + 11 x 2/36 x 2
= 4 + 11/36
4 + 11/36 can be written as a mixed number 4 ¹¹/₃₆.


step 5 Find the decimal equivalent for the fractional part 11/36 in the above expression:
= 4 + 0.3056
= 4.3056
310/72 = 4.3056

Hence,
310/72 as a decimal is 4.3056
310/72 as a mixed number is 4 ¹¹/₃₆