63/14 as a Decimal and Mixed Number

63/14 as a decimal and mixed number expansion provides the detailed information about what is 63/14 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

63/14 as a Decimal
63/14 = 4.5
Hence,
63/14 as a decimal equals to 4.5
where,
63/14 is a given fraction,
The decimal expansion of 63/14 is 4.5

63/14 as a Mixed Number
63/14 = (56 + 7)/14
= 56/14 + 7/14
= 4 + 7/14
= 4 7/14
63/14 = 4 7/14

Hence,
63/14 as a mixed number is 4 ⁷/₁₄
where,
63/14 is a given fraction,
4 ⁷/₁₄ is the mixed number representation of 63/14.

The below work with steps provide the detailed information about how to convert fraction 63/14 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 63/14

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 63/14.

step 2 The numerator is greater than the denominator of the fraction 63/14, so write the given fraction in the expression form in terms of denominator as like the below:
= 63/14
= 56 + 7/14
= (4 x 14) + 7/14

step 3 Make the above expression as individual fractions:
= (4 x 14)/14 + 7/14

step 4 Simplify the above expression:
= 4 x 14/14 + 7/14
= 4 + 7/14
= 4 + 1 x 7/2 x 7
= 4 + 1/2
4 + 1/2 can be written as a mixed number 4 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:
= 4 + (1/2 x 5/5)
= 4 + 5/10

step 6 Simplify the above expression further:
= 4 + 0.5
= 4.5
63/14 = 4.5

Hence,
63/14 as a decimal is 4.5
63/14 as a mixed number is 4 ¹/₂