318/72 as a Decimal and Mixed Number

318/72 as a decimal and mixed number expansion provides the detailed information about what is 318/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

318/72 as a Decimal
318/72 = 4.4167
Hence,
318/72 as a decimal equals to 4.4167
where,
318/72 is a given fraction,
The decimal expansion of 318/72 is 4.4167

318/72 as a Mixed Number
318/72 = (288 + 30)/72
= 288/72 + 30/72
= 4 + 30/72
= 4 30/72
318/72 = 4 30/72

Hence,
318/72 as a mixed number is 4 ³⁰/₇₂
where,
318/72 is a given fraction,
4 ³⁰/₇₂ is the mixed number representation of 318/72.

The below work with steps provide the detailed information about how to convert fraction 318/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 318/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 318/72.

step 2 The numerator is greater than the denominator of the fraction 318/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 318/72
= 288 + 30/72
= (4 x 72) + 30/72

step 3 Make the above expression as individual fractions:
= (4 x 72)/72 + 30/72

step 4 Simplify the above expression:
= 4 x 72/72 + 30/72
= 4 + 30/72
= 4 + 5 x 6/12 x 6
= 4 + 5/12
4 + 5/12 can be written as a mixed number 4 ⁵/₁₂.


step 5 Find the decimal equivalent for the fractional part 5/12 in the above expression:
= 4 + 0.4167
= 4.4167
318/72 = 4.4167

Hence,
318/72 as a decimal is 4.4167
318/72 as a mixed number is 4 ⁵/₁₂