315/294 as a Decimal and Mixed Number

315/294 as a decimal and mixed number expansion provides the detailed information about what is 315/294 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/294 as a Decimal
315/294 = 1.0714
Hence,
315/294 as a decimal equals to 1.0714
where,
315/294 is a given fraction,
The decimal expansion of 315/294 is 1.0714

315/294 as a Mixed Number
315/294 = (294 + 21)/294
= 294/294 + 21/294
= 1 + 21/294
= 1 21/294
315/294 = 1 21/294

Hence,
315/294 as a mixed number is 1 ²¹/₂₉₄
where,
315/294 is a given fraction,
1 ²¹/₂₉₄ is the mixed number representation of 315/294.

The below work with steps provide the detailed information about how to convert fraction 315/294 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/294

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/294.

step 2 The numerator is greater than the denominator of the fraction 315/294, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/294
= 294 + 21/294

step 3 Make the above expression as individual fractions:
= 294/294 + 21/294

step 4 Simplify the above expression:
= 1 x 294/294 + 21/294
= 1 + 21/294
= 1 + 1 x 21/14 x 21
= 1 + 1/14
1 + 1/14 can be written as a mixed number 1 ¹/₁₄.


step 5 Find the decimal equivalent for the fractional part 1/14 in the above expression:
= 1 + 0.0714
= 1.0714
315/294 = 1.0714

Hence,
315/294 as a decimal is 1.0714
315/294 as a mixed number is 1 ¹/₁₄