138/22 as a Decimal and Mixed Number

138/22 as a decimal and mixed number expansion provides the detailed information about what is 138/22 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

138/22 as a Decimal
138/22 = 6.2727
Hence,
138/22 as a decimal equals to 6.2727
where,
138/22 is a given fraction,
The decimal expansion of 138/22 is 6.2727

138/22 as a Mixed Number
138/22 = (132 + 6)/22
= 132/22 + 6/22
= 6 + 6/22
= 6 6/22
138/22 = 6 6/22

Hence,
138/22 as a mixed number is 6 ⁶/₂₂
where,
138/22 is a given fraction,
6 ⁶/₂₂ is the mixed number representation of 138/22.

The below work with steps provide the detailed information about how to convert fraction 138/22 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 138/22

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 138/22.

step 2 The numerator is greater than the denominator of the fraction 138/22, so write the given fraction in the expression form in terms of denominator as like the below:
= 138/22
= 132 + 6/22
= (6 x 22) + 6/22

step 3 Make the above expression as individual fractions:
= (6 x 22)/22 + 6/22

step 4 Simplify the above expression:
= 6 x 22/22 + 6/22
= 6 + 6/22
= 6 + 3 x 2/11 x 2
= 6 + 3/11
6 + 3/11 can be written as a mixed number 6 ³/₁₁.


step 5 Find the decimal equivalent for the fractional part 3/11 in the above expression:
= 6 + 0.2727
= 6.2727
138/22 = 6.2727

Hence,
138/22 as a decimal is 6.2727
138/22 as a mixed number is 6 ³/₁₁