121/88 as a Decimal and Mixed Number

121/88 as a decimal and mixed number expansion provides the detailed information about what is 121/88 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

121/88 as a Decimal
121/88 = 1.375
Hence,
121/88 as a decimal equals to 1.375
where,
121/88 is a given fraction,
The decimal expansion of 121/88 is 1.375

121/88 as a Mixed Number
121/88 = (88 + 33)/88
= 88/88 + 33/88
= 1 + 33/88
= 1 33/88
121/88 = 1 33/88

Hence,
121/88 as a mixed number is 1 ³³/₈₈
where,
121/88 is a given fraction,
1 ³³/₈₈ is the mixed number representation of 121/88.

The below work with steps provide the detailed information about how to convert fraction 121/88 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 121/88

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 121/88.

step 2 The numerator is greater than the denominator of the fraction 121/88, so write the given fraction in the expression form in terms of denominator as like the below:
= 121/88
= 88 + 33/88

step 3 Make the above expression as individual fractions:
= 88/88 + 33/88

step 4 Simplify the above expression:
= 1 x 88/88 + 33/88
= 1 + 33/88
= 1 + 3 x 11/8 x 11
= 1 + 3/8
1 + 3/8 can be written as a mixed number 1 ³/₈.


step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 1 + (3/8 x 125/125)
= 1 + 375/1000

step 6 Simplify the above expression further:
= 1 + 0.375
= 1.375
121/88 = 1.375

Hence,
121/88 as a decimal is 1.375
121/88 as a mixed number is 1 ³/₈