315/42 as a Decimal and Mixed Number

315/42 as a decimal and mixed number expansion provides the detailed information about what is 315/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/42 as a Decimal
315/42 = 7.5
Hence,
315/42 as a decimal equals to 7.5
where,
315/42 is a given fraction,
The decimal expansion of 315/42 is 7.5

315/42 as a Mixed Number
315/42 = (294 + 21)/42
= 294/42 + 21/42
= 7 + 21/42
= 7 21/42
315/42 = 7 21/42

Hence,
315/42 as a mixed number is 7 ²¹/₄₂
where,
315/42 is a given fraction,
7 ²¹/₄₂ is the mixed number representation of 315/42.

The below work with steps provide the detailed information about how to convert fraction 315/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/42.

step 2 The numerator is greater than the denominator of the fraction 315/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/42
= 294 + 21/42
= (7 x 42) + 21/42

step 3 Make the above expression as individual fractions:
= (7 x 42)/42 + 21/42

step 4 Simplify the above expression:
= 7 x 42/42 + 21/42
= 7 + 21/42
= 7 + 1 x 21/2 x 21
= 7 + 1/2
7 + 1/2 can be written as a mixed number 7 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 7 + (1/2 x 5/5)
= 7 + 5/10

step 6 Simplify the above expression further:
= 7 + 0.5
= 7.5
315/42 = 7.5

Hence,
315/42 as a decimal is 7.5
315/42 as a mixed number is 7 ¹/₂