315/88 as a Decimal and Mixed Number

315/88 as a decimal and mixed number expansion provides the detailed information about what is 315/88 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/88 as a Decimal
315/88 = 3.5795
Hence,
315/88 as a decimal equals to 3.5795
where,
315/88 is a given fraction,
The decimal expansion of 315/88 is 3.5795

315/88 as a Mixed Number
315/88 = (264 + 51)/88
= 264/88 + 51/88
= 3 + 51/88
= 3 51/88
315/88 = 3 51/88

Hence,
315/88 as a mixed number is 3 ⁵¹/₈₈
where,
315/88 is a given fraction,
3 ⁵¹/₈₈ is the mixed number representation of 315/88.

The below work with steps provide the detailed information about how to convert fraction 315/88 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/88

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/88.

step 2 The numerator is greater than the denominator of the fraction 315/88, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/88
= 264 + 51/88
= (3 x 88) + 51/88

step 3 Make the above expression as individual fractions:
= (3 x 88)/88 + 51/88

step 4 Simplify the above expression:
= 3 x 88/88 + 51/88
= 3 + 51/88
3 + 51/88 can be written as a mixed number 3 ⁵¹/₈₈.


step 5 Find the decimal equivalent for the fractional part 51/88 in the above expression:
= 3 + 0.5795
= 3.5795
315/88 = 3.5795

Hence,
315/88 as a decimal is 3.5795
315/88 as a mixed number is 3 ⁵¹/₈₈