310/297 as a Decimal and Mixed Number

310/297 as a decimal and mixed number expansion provides the detailed information about what is 310/297 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

310/297 as a Decimal
310/297 = 1.0438
Hence,
310/297 as a decimal equals to 1.0438
where,
310/297 is a given fraction,
The decimal expansion of 310/297 is 1.0438

310/297 as a Mixed Number
310/297 = (297 + 13)/297
= 297/297 + 13/297
= 1 + 13/297
= 1 13/297
310/297 = 1 13/297

Hence,
310/297 as a mixed number is 1 ¹³/₂₉₇
where,
310/297 is a given fraction,
1 ¹³/₂₉₇ is the mixed number representation of 310/297.

The below work with steps provide the detailed information about how to convert fraction 310/297 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 310/297

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 310/297.

step 2 The numerator is greater than the denominator of the fraction 310/297, so write the given fraction in the expression form in terms of denominator as like the below:
= 310/297
= 297 + 13/297

step 3 Make the above expression as individual fractions:
= 297/297 + 13/297

step 4 Simplify the above expression:
= 1 x 297/297 + 13/297
= 1 + 13/297
1 + 13/297 can be written as a mixed number 1 ¹³/₂₉₇.


step 5 Find the decimal equivalent for the fractional part 13/297 in the above expression:
= 1 + 0.0438
= 1.0438
310/297 = 1.0438

Hence,
310/297 as a decimal is 1.0438
310/297 as a mixed number is 1 ¹³/₂₉₇