124/64 as a Decimal and Mixed Number

124/64 as a decimal and mixed number expansion provides the detailed information about what is 124/64 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

124/64 as a Decimal
124/64 = 1.9375
Hence,
124/64 as a decimal equals to 1.9375
where,
124/64 is a given fraction,
The decimal expansion of 124/64 is 1.9375

124/64 as a Mixed Number
124/64 = (64 + 60)/64
= 64/64 + 60/64
= 1 + 60/64
= 1 60/64
124/64 = 1 60/64

Hence,
124/64 as a mixed number is 1 ⁶⁰/₆₄
where,
124/64 is a given fraction,
1 ⁶⁰/₆₄ is the mixed number representation of 124/64.

The below work with steps provide the detailed information about how to convert fraction 124/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 124/64

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 124/64.

step 2 The numerator is greater than the denominator of the fraction 124/64, so write the given fraction in the expression form in terms of denominator as like the below:
= 124/64
= 64 + 60/64

step 3 Make the above expression as individual fractions:
= 64/64 + 60/64

step 4 Simplify the above expression:
= 1 x 64/64 + 60/64
= 1 + 60/64
= 1 + 15 x 4/16 x 4
= 1 + 15/16
1 + 15/16 can be written as a mixed number 1 ¹⁵/₁₆.


step 5 Find the decimal equivalent for the fractional part 15/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 1 + (15/16 x 625/625)
= 1 + 9375/10000

step 6 Simplify the above expression further:
= 1 + 0.9375
= 1.9375
124/64 = 1.9375

Hence,
124/64 as a decimal is 1.9375
124/64 as a mixed number is 1 ¹⁵/₁₆