335/315 as a Decimal and Mixed Number

335/315 as a decimal and mixed number expansion provides the detailed information about what is 335/315 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

335/315 as a Decimal
335/315 = 1.0635
Hence,
335/315 as a decimal equals to 1.0635
where,
335/315 is a given fraction,
The decimal expansion of 335/315 is 1.0635

335/315 as a Mixed Number
335/315 = (315 + 20)/315
= 315/315 + 20/315
= 1 + 20/315
= 1 20/315
335/315 = 1 20/315

Hence,
335/315 as a mixed number is 1 ²⁰/₃₁₅
where,
335/315 is a given fraction,
1 ²⁰/₃₁₅ is the mixed number representation of 335/315.

The below work with steps provide the detailed information about how to convert fraction 335/315 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 335/315

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 335/315.

step 2 The numerator is greater than the denominator of the fraction 335/315, so write the given fraction in the expression form in terms of denominator as like the below:
= 335/315
= 315 + 20/315

step 3 Make the above expression as individual fractions:
= 315/315 + 20/315

step 4 Simplify the above expression:
= 1 x 315/315 + 20/315
= 1 + 20/315
= 1 + 4 x 5/63 x 5
= 1 + 4/63
1 + 4/63 can be written as a mixed number 1 ⁴/₆₃.


step 5 Find the decimal equivalent for the fractional part 4/63 in the above expression:
= 1 + 0.0635
= 1.0635
335/315 = 1.0635

Hence,
335/315 as a decimal is 1.0635
335/315 as a mixed number is 1 ⁴/₆₃