315/84 as a Decimal and Mixed Number

315/84 as a decimal and mixed number expansion provides the detailed information about what is 315/84 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/84 as a Decimal
315/84 = 3.75
Hence,
315/84 as a decimal equals to 3.75
where,
315/84 is a given fraction,
The decimal expansion of 315/84 is 3.75

315/84 as a Mixed Number
315/84 = (252 + 63)/84
= 252/84 + 63/84
= 3 + 63/84
= 3 63/84
315/84 = 3 63/84

Hence,
315/84 as a mixed number is 3 ⁶³/₈₄
where,
315/84 is a given fraction,
3 ⁶³/₈₄ is the mixed number representation of 315/84.

The below work with steps provide the detailed information about how to convert fraction 315/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/84

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/84.

step 2 The numerator is greater than the denominator of the fraction 315/84, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/84
= 252 + 63/84
= (3 x 84) + 63/84

step 3 Make the above expression as individual fractions:
= (3 x 84)/84 + 63/84

step 4 Simplify the above expression:
= 3 x 84/84 + 63/84
= 3 + 63/84
= 3 + 3 x 21/4 x 21
= 3 + 3/4
3 + 3/4 can be written as a mixed number 3 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 3 + (3/4 x 25/25)
= 3 + 75/100

step 6 Simplify the above expression further:
= 3 + 0.75
= 3.75
315/84 = 3.75

Hence,
315/84 as a decimal is 3.75
315/84 as a mixed number is 3 ³/₄