248/64 as a Decimal and Mixed Number

248/64 as a decimal and mixed number expansion provides the detailed information about what is 248/64 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

248/64 as a Decimal
248/64 = 3.875
Hence,
248/64 as a decimal equals to 3.875
where,
248/64 is a given fraction,
The decimal expansion of 248/64 is 3.875

248/64 as a Mixed Number
248/64 = (192 + 56)/64
= 192/64 + 56/64
= 3 + 56/64
= 3 56/64
248/64 = 3 56/64

Hence,
248/64 as a mixed number is 3 ⁵⁶/₆₄
where,
248/64 is a given fraction,
3 ⁵⁶/₆₄ is the mixed number representation of 248/64.

The below work with steps provide the detailed information about how to convert fraction 248/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 248/64

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 248/64.

step 2 The numerator is greater than the denominator of the fraction 248/64, so write the given fraction in the expression form in terms of denominator as like the below:
= 248/64
= 192 + 56/64
= (3 x 64) + 56/64

step 3 Make the above expression as individual fractions:
= (3 x 64)/64 + 56/64

step 4 Simplify the above expression:
= 3 x 64/64 + 56/64
= 3 + 56/64
= 3 + 7 x 8/8 x 8
= 3 + 7/8
3 + 7/8 can be written as a mixed number 3 ⁷/₈.


step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 3 + (7/8 x 125/125)
= 3 + 875/1000

step 6 Simplify the above expression further:
= 3 + 0.875
= 3.875
248/64 = 3.875

Hence,
248/64 as a decimal is 3.875
248/64 as a mixed number is 3 ⁷/₈