63/28 as a Decimal and Mixed Number

63/28 as a decimal and mixed number expansion provides the detailed information about what is 63/28 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

63/28 as a Decimal
63/28 = 2.25
Hence,
63/28 as a decimal equals to 2.25
where,
63/28 is a given fraction,
The decimal expansion of 63/28 is 2.25

63/28 as a Mixed Number
63/28 = (56 + 7)/28
= 56/28 + 7/28
= 2 + 7/28
= 2 7/28
63/28 = 2 7/28

Hence,
63/28 as a mixed number is 2 ⁷/₂₈
where,
63/28 is a given fraction,
2 ⁷/₂₈ is the mixed number representation of 63/28.

The below work with steps provide the detailed information about how to convert fraction 63/28 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 63/28

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 63/28.

step 2 The numerator is greater than the denominator of the fraction 63/28, so write the given fraction in the expression form in terms of denominator as like the below:
= 63/28
= 56 + 7/28
= (2 x 28) + 7/28

step 3 Make the above expression as individual fractions:
= (2 x 28)/28 + 7/28

step 4 Simplify the above expression:
= 2 x 28/28 + 7/28
= 2 + 7/28
= 2 + 1 x 7/4 x 7
= 2 + 1/4
2 + 1/4 can be written as a mixed number 2 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 2 + (1/4 x 25/25)
= 2 + 25/100

step 6 Simplify the above expression further:
= 2 + 0.25
= 2.25
63/28 = 2.25

Hence,
63/28 as a decimal is 2.25
63/28 as a mixed number is 2 ¹/₄