120/64 as a Decimal and Mixed Number

120/64 as a decimal and mixed number expansion provides the detailed information about what is 120/64 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

120/64 as a Decimal
120/64 = 1.875
Hence,
120/64 as a decimal equals to 1.875
where,
120/64 is a given fraction,
The decimal expansion of 120/64 is 1.875

120/64 as a Mixed Number
120/64 = (64 + 56)/64
= 64/64 + 56/64
= 1 + 56/64
= 1 56/64
120/64 = 1 56/64

Hence,
120/64 as a mixed number is 1 ⁵⁶/₆₄
where,
120/64 is a given fraction,
1 ⁵⁶/₆₄ is the mixed number representation of 120/64.

The below work with steps provide the detailed information about how to convert fraction 120/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 120/64

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 120/64.

step 2 The numerator is greater than the denominator of the fraction 120/64, so write the given fraction in the expression form in terms of denominator as like the below:
= 120/64
= 64 + 56/64

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

step 4 Simplify the above expression:
= 1 x 64/64 + 56/64
= 1 + 56/64
= 1 + 7 x 8/8 x 8
= 1 + 7/8
1 + 7/8 can be written as a mixed number 1 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:
= 1 + (7/8 x 125/125)
= 1 + 875/1000

step 6 Simplify the above expression further:
= 1 + 0.875
= 1.875
120/64 = 1.875

Hence,
120/64 as a decimal is 1.875
120/64 as a mixed number is 1 ⁷/₈