85/68 as a decimal and mixed number expansion provides the detailed information about what is 85/68 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
85/68 as a Decimal
85/68 = 1.25
Hence,
85/68 as a decimal equals to 1.25
where,
85/68 is a given fraction,
The decimal expansion of 85/68 is 1.25
85/68 as a Mixed Number
85/68 = (68 + 17)/68
= 68/68 + 17/68
= 1 + 17/68
= 1 17/68
85/68 = 1 17/68
Hence,
85/68 as a mixed number is 1 17/68
where,
85/68 is a given fraction,
1 17/68 is the mixed number representation of 85/68.
The below work with steps provide the detailed information about how to convert fraction 85/68 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 85/68
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 85/68.
step 2 The numerator is greater than the denominator of the fraction 85/68, so write the given fraction in the expression form in terms of denominator as like the below:
= 85/68
= 68 + 17/68
step 3 Make the above expression as individual fractions:
= 68/68 + 17/68
step 4 Simplify the above expression:
= 1 x 68/68 + 17/68
= 1 + 17/68
= 1 + 1 x 17/4 x 17
= 1 + 1/4
1 + 1/4 can be written as a mixed number 1 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:
= 1 + (1/4 x 25/25)
= 1 + 25/100
step 6 Simplify the above expression further:
= 1 + 0.25
= 1.25
85/68 = 1.25
Hence,
85/68 as a decimal is 1.25
85/68 as a mixed number is 1 1/4