309/72 as a Decimal and Mixed Number

309/72 as a decimal and mixed number expansion provides the detailed information about what is 309/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

309/72 as a Decimal
309/72 = 4.2917
Hence,
309/72 as a decimal equals to 4.2917
where,
309/72 is a given fraction,
The decimal expansion of 309/72 is 4.2917

309/72 as a Mixed Number
309/72 = (288 + 21)/72
= 288/72 + 21/72
= 4 + 21/72
= 4 21/72
309/72 = 4 21/72

Hence,
309/72 as a mixed number is 4 ²¹/₇₂
where,
309/72 is a given fraction,
4 ²¹/₇₂ is the mixed number representation of 309/72.

The below work with steps provide the detailed information about how to convert fraction 309/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 309/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 309/72.

step 2 The numerator is greater than the denominator of the fraction 309/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 309/72
= 288 + 21/72
= (4 x 72) + 21/72

step 3 Make the above expression as individual fractions:
= (4 x 72)/72 + 21/72

step 4 Simplify the above expression:
= 4 x 72/72 + 21/72
= 4 + 21/72
= 4 + 7 x 3/24 x 3
= 4 + 7/24
4 + 7/24 can be written as a mixed number 4 ⁷/₂₄.


step 5 Find the decimal equivalent for the fractional part 7/24 in the above expression:
= 4 + 0.2917
= 4.2917
309/72 = 4.2917

Hence,
309/72 as a decimal is 4.2917
309/72 as a mixed number is 4 ⁷/₂₄