315/243 as a Decimal and Mixed Number

315/243 as a decimal and mixed number expansion provides the detailed information about what is 315/243 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/243 as a Decimal
315/243 = 1.2963
Hence,
315/243 as a decimal equals to 1.2963
where,
315/243 is a given fraction,
The decimal expansion of 315/243 is 1.2963

315/243 as a Mixed Number
315/243 = (243 + 72)/243
= 243/243 + 72/243
= 1 + 72/243
= 1 72/243
315/243 = 1 72/243

Hence,
315/243 as a mixed number is 1 ⁷²/₂₄₃
where,
315/243 is a given fraction,
1 ⁷²/₂₄₃ is the mixed number representation of 315/243.

The below work with steps provide the detailed information about how to convert fraction 315/243 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/243

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/243.

step 2 The numerator is greater than the denominator of the fraction 315/243, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/243
= 243 + 72/243

step 3 Make the above expression as individual fractions:
= 243/243 + 72/243

step 4 Simplify the above expression:
= 1 x 243/243 + 72/243
= 1 + 72/243
= 1 + 8 x 9/27 x 9
= 1 + 8/27
1 + 8/27 can be written as a mixed number 1 ⁸/₂₇.


step 5 Find the decimal equivalent for the fractional part 8/27 in the above expression:
= 1 + 0.2963
= 1.2963
315/243 = 1.2963

Hence,
315/243 as a decimal is 1.2963
315/243 as a mixed number is 1 ⁸/₂₇