315/55 as a Decimal and Mixed Number

315/55 as a decimal and mixed number expansion provides the detailed information about what is 315/55 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/55 as a Decimal
315/55 = 5.7273
Hence,
315/55 as a decimal equals to 5.7273
where,
315/55 is a given fraction,
The decimal expansion of 315/55 is 5.7273

315/55 as a Mixed Number
315/55 = (275 + 40)/55
= 275/55 + 40/55
= 5 + 40/55
= 5 40/55
315/55 = 5 40/55

Hence,
315/55 as a mixed number is 5 ⁴⁰/₅₅
where,
315/55 is a given fraction,
5 ⁴⁰/₅₅ is the mixed number representation of 315/55.

The below work with steps provide the detailed information about how to convert fraction 315/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/55

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/55.

step 2 The numerator is greater than the denominator of the fraction 315/55, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/55
= 275 + 40/55
= (5 x 55) + 40/55

step 3 Make the above expression as individual fractions:
= (5 x 55)/55 + 40/55

step 4 Simplify the above expression:
= 5 x 55/55 + 40/55
= 5 + 40/55
= 5 + 8 x 5/11 x 5
= 5 + 8/11
5 + 8/11 can be written as a mixed number 5 ⁸/₁₁.


step 5 Find the decimal equivalent for the fractional part 8/11 in the above expression:
= 5 + 0.7273
= 5.7273
315/55 = 5.7273

Hence,
315/55 as a decimal is 5.7273
315/55 as a mixed number is 5 ⁸/₁₁