313/42 as a Decimal and Mixed Number

313/42 as a decimal and mixed number expansion provides the detailed information about what is 313/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

313/42 as a Decimal
313/42 = 7.4524
Hence,
313/42 as a decimal equals to 7.4524
where,
313/42 is a given fraction,
The decimal expansion of 313/42 is 7.4524

313/42 as a Mixed Number
313/42 = (294 + 19)/42
= 294/42 + 19/42
= 7 + 19/42
= 7 19/42
313/42 = 7 19/42

Hence,
313/42 as a mixed number is 7 ¹⁹/₄₂
where,
313/42 is a given fraction,
7 ¹⁹/₄₂ is the mixed number representation of 313/42.

The below work with steps provide the detailed information about how to convert fraction 313/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 313/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 313/42.

step 2 The numerator is greater than the denominator of the fraction 313/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 313/42
= 294 + 19/42
= (7 x 42) + 19/42

step 3 Make the above expression as individual fractions:
= (7 x 42)/42 + 19/42

step 4 Simplify the above expression:
= 7 x 42/42 + 19/42
= 7 + 19/42
7 + 19/42 can be written as a mixed number 7 ¹⁹/₄₂.


step 5 Find the decimal equivalent for the fractional part 19/42 in the above expression:
= 7 + 0.4524
= 7.4524
313/42 = 7.4524

Hence,
313/42 as a decimal is 7.4524
313/42 as a mixed number is 7 ¹⁹/₄₂