315/215 as a Decimal and Mixed Number

315/215 as a decimal and mixed number expansion provides the detailed information about what is 315/215 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/215 as a Decimal
315/215 = 1.4651
Hence,
315/215 as a decimal equals to 1.4651
where,
315/215 is a given fraction,
The decimal expansion of 315/215 is 1.4651

315/215 as a Mixed Number
315/215 = (215 + 100)/215
= 215/215 + 100/215
= 1 + 100/215
= 1 100/215
315/215 = 1 100/215

Hence,
315/215 as a mixed number is 1 ¹⁰⁰/₂₁₅
where,
315/215 is a given fraction,
1 ¹⁰⁰/₂₁₅ is the mixed number representation of 315/215.

The below work with steps provide the detailed information about how to convert fraction 315/215 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/215

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/215.

step 2 The numerator is greater than the denominator of the fraction 315/215, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/215
= 215 + 100/215

step 3 Make the above expression as individual fractions:
= 215/215 + 100/215

step 4 Simplify the above expression:
= 1 x 215/215 + 100/215
= 1 + 100/215
= 1 + 20 x 5/43 x 5
= 1 + 20/43
1 + 20/43 can be written as a mixed number 1 ²⁰/₄₃.


step 5 Find the decimal equivalent for the fractional part 20/43 in the above expression:
= 1 + 0.4651
= 1.4651
315/215 = 1.4651

Hence,
315/215 as a decimal is 1.4651
315/215 as a mixed number is 1 ²⁰/₄₃