122/8 as a Decimal and Mixed Number

122/8 as a decimal and mixed number expansion provides the detailed information about what is 122/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

122/8 as a Decimal
122/8 = 15.25
Hence,
122/8 as a decimal equals to 15.25
where,
122/8 is a given fraction,
The decimal expansion of 122/8 is 15.25

122/8 as a Mixed Number
122/8 = (120 + 2)/8
= 120/8 + 2/8
= 15 + 2/8
= 15 2/8
122/8 = 15 2/8

Hence,
122/8 as a mixed number is 15 ²/₈
where,
122/8 is a given fraction,
15 ²/₈ is the mixed number representation of 122/8.

The below work with steps provide the detailed information about how to convert fraction 122/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 122/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 122/8.

step 2 The numerator is greater than the denominator of the fraction 122/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 122/8
= 120 + 2/8
= (15 x 8) + 2/8

step 3 Make the above expression as individual fractions:
= (15 x 8)/8 + 2/8

step 4 Simplify the above expression:
= 15 x 8/8 + 2/8
= 15 + 2/8
= 15 + 1 x 2/4 x 2
= 15 + 1/4
15 + 1/4 can be written as a mixed number 15 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:
= 15 + (1/4 x 25/25)
= 15 + 25/100

step 6 Simplify the above expression further:
= 15 + 0.25
= 15.25
122/8 = 15.25

Hence,
122/8 as a decimal is 15.25
122/8 as a mixed number is 15 ¹/₄