163/138 as a Decimal and Mixed Number

163/138 as a decimal and mixed number expansion provides the detailed information about what is 163/138 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

163/138 as a Decimal
163/138 = 1.1812
Hence,
163/138 as a decimal equals to 1.1812
where,
163/138 is a given fraction,
The decimal expansion of 163/138 is 1.1812

163/138 as a Mixed Number
163/138 = (138 + 25)/138
= 138/138 + 25/138
= 1 + 25/138
= 1 25/138
163/138 = 1 25/138

Hence,
163/138 as a mixed number is 1 ²⁵/₁₃₈
where,
163/138 is a given fraction,
1 ²⁵/₁₃₈ is the mixed number representation of 163/138.

The below work with steps provide the detailed information about how to convert fraction 163/138 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 163/138

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 163/138.

step 2 The numerator is greater than the denominator of the fraction 163/138, so write the given fraction in the expression form in terms of denominator as like the below:
= 163/138
= 138 + 25/138

step 3 Make the above expression as individual fractions:
= 138/138 + 25/138

step 4 Simplify the above expression:
= 1 x 138/138 + 25/138
= 1 + 25/138
1 + 25/138 can be written as a mixed number 1 ²⁵/₁₃₈.


step 5 Find the decimal equivalent for the fractional part 25/138 in the above expression:
= 1 + 0.1812
= 1.1812
163/138 = 1.1812

Hence,
163/138 as a decimal is 1.1812
163/138 as a mixed number is 1 ²⁵/₁₃₈