345/72 as a Decimal and Mixed Number

345/72 as a decimal and mixed number expansion provides the detailed information about what is 345/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/72 as a Decimal
345/72 = 4.7917
Hence,
345/72 as a decimal equals to 4.7917
where,
345/72 is a given fraction,
The decimal expansion of 345/72 is 4.7917

345/72 as a Mixed Number
345/72 = (288 + 57)/72
= 288/72 + 57/72
= 4 + 57/72
= 4 57/72
345/72 = 4 57/72

Hence,
345/72 as a mixed number is 4 ⁵⁷/₇₂
where,
345/72 is a given fraction,
4 ⁵⁷/₇₂ is the mixed number representation of 345/72.

The below work with steps provide the detailed information about how to convert fraction 345/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/72.

step 2 The numerator is greater than the denominator of the fraction 345/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/72
= 288 + 57/72
= (4 x 72) + 57/72

step 3 Make the above expression as individual fractions:
= (4 x 72)/72 + 57/72

step 4 Simplify the above expression:
= 4 x 72/72 + 57/72
= 4 + 57/72
= 4 + 19 x 3/24 x 3
= 4 + 19/24
4 + 19/24 can be written as a mixed number 4 ¹⁹/₂₄.


step 5 Find the decimal equivalent for the fractional part 19/24 in the above expression:
= 4 + 0.7917
= 4.7917
345/72 = 4.7917

Hence,
345/72 as a decimal is 4.7917
345/72 as a mixed number is 4 ¹⁹/₂₄