315/75 as a Decimal and Mixed Number

315/75 as a decimal and mixed number expansion provides the detailed information about what is 315/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/75 as a Decimal
315/75 = 4.2
Hence,
315/75 as a decimal equals to 4.2
where,
315/75 is a given fraction,
The decimal expansion of 315/75 is 4.2

315/75 as a Mixed Number
315/75 = (300 + 15)/75
= 300/75 + 15/75
= 4 + 15/75
= 4 15/75
315/75 = 4 15/75

Hence,
315/75 as a mixed number is 4 ¹⁵/₇₅
where,
315/75 is a given fraction,
4 ¹⁵/₇₅ is the mixed number representation of 315/75.

The below work with steps provide the detailed information about how to convert fraction 315/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/75

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/75.

step 2 The numerator is greater than the denominator of the fraction 315/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/75
= 300 + 15/75
= (4 x 75) + 15/75

step 3 Make the above expression as individual fractions:
= (4 x 75)/75 + 15/75

step 4 Simplify the above expression:
= 4 x 75/75 + 15/75
= 4 + 15/75
= 4 + 1 x 15/5 x 15
= 4 + 1/5
4 + 1/5 can be written as a mixed number 4 ¹/₅.


step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 4 + (1/5 x 2/2)
= 4 + 2/10

step 6 Simplify the above expression further:
= 4 + 0.2
= 4.2
315/75 = 4.2

Hence,
315/75 as a decimal is 4.2
315/75 as a mixed number is 4 ¹/₅