312/75 as a Decimal and Mixed Number

312/75 as a decimal and mixed number expansion provides the detailed information about what is 312/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

312/75 as a Decimal
312/75 = 4.16
Hence,
312/75 as a decimal equals to 4.16
where,
312/75 is a given fraction,
The decimal expansion of 312/75 is 4.16

312/75 as a Mixed Number
312/75 = (300 + 12)/75
= 300/75 + 12/75
= 4 + 12/75
= 4 12/75
312/75 = 4 12/75

Hence,
312/75 as a mixed number is 4 ¹²/₇₅
where,
312/75 is a given fraction,
4 ¹²/₇₅ is the mixed number representation of 312/75.

The below work with steps provide the detailed information about how to convert fraction 312/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 312/75

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 312/75.

step 2 The numerator is greater than the denominator of the fraction 312/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 312/75
= 300 + 12/75
= (4 x 75) + 12/75

step 3 Make the above expression as individual fractions:
= (4 x 75)/75 + 12/75

step 4 Simplify the above expression:
= 4 x 75/75 + 12/75
= 4 + 12/75
= 4 + 4 x 3/25 x 3
= 4 + 4/25
4 + 4/25 can be written as a mixed number 4 ⁴/₂₅.


step 5 Find the decimal equivalent for the fractional part 4/25 in the above expression:
Multiply both numerator and denominator by 4 to make the denominator as powers of 10:
= 4 + (4/25 x 4/4)
= 4 + 16/100

step 6 Simplify the above expression further:
= 4 + 0.16
= 4.16
312/75 = 4.16

Hence,
312/75 as a decimal is 4.16
312/75 as a mixed number is 4 ⁴/₂₅