312/72 as a Decimal and Mixed Number

312/72 as a decimal and mixed number expansion provides the detailed information about what is 312/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

312/72 as a Decimal
312/72 = 4.3333
Hence,
312/72 as a decimal equals to 4.3333
where,
312/72 is a given fraction,
The decimal expansion of 312/72 is 4.3333

312/72 as a Mixed Number
312/72 = (288 + 24)/72
= 288/72 + 24/72
= 4 + 24/72
= 4 24/72
312/72 = 4 24/72

Hence,
312/72 as a mixed number is 4 ²⁴/₇₂
where,
312/72 is a given fraction,
4 ²⁴/₇₂ is the mixed number representation of 312/72.

The below work with steps provide the detailed information about how to convert fraction 312/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 312/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 312/72.

step 2 The numerator is greater than the denominator of the fraction 312/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 312/72
= 288 + 24/72
= (4 x 72) + 24/72

step 3 Make the above expression as individual fractions:
= (4 x 72)/72 + 24/72

step 4 Simplify the above expression:
= 4 x 72/72 + 24/72
= 4 + 24/72
= 4 + 1 x 24/3 x 24
= 4 + 1/3
4 + 1/3 can be written as a mixed number 4 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 4 + 0.3333
= 4.3333
312/72 = 4.3333

Hence,
312/72 as a decimal is 4.3333
312/72 as a mixed number is 4 ¹/₃