357/315 as a Decimal and Mixed Number

357/315 as a decimal and mixed number expansion provides the detailed information about what is 357/315 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

357/315 as a Decimal
357/315 = 1.1333
Hence,
357/315 as a decimal equals to 1.1333
where,
357/315 is a given fraction,
The decimal expansion of 357/315 is 1.1333

357/315 as a Mixed Number
357/315 = (315 + 42)/315
= 315/315 + 42/315
= 1 + 42/315
= 1 42/315
357/315 = 1 42/315

Hence,
357/315 as a mixed number is 1 ⁴²/₃₁₅
where,
357/315 is a given fraction,
1 ⁴²/₃₁₅ is the mixed number representation of 357/315.

The below work with steps provide the detailed information about how to convert fraction 357/315 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 357/315

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 357/315.

step 2 The numerator is greater than the denominator of the fraction 357/315, so write the given fraction in the expression form in terms of denominator as like the below:
= 357/315
= 315 + 42/315

step 3 Make the above expression as individual fractions:
= 315/315 + 42/315

step 4 Simplify the above expression:
= 1 x 315/315 + 42/315
= 1 + 42/315
= 1 + 2 x 21/15 x 21
= 1 + 2/15
1 + 2/15 can be written as a mixed number 1 ²/₁₅.


step 5 Find the decimal equivalent for the fractional part 2/15 in the above expression:
= 1 + 0.1333
= 1.1333
357/315 = 1.1333

Hence,
357/315 as a decimal is 1.1333
357/315 as a mixed number is 1 ²/₁₅