218/138 as a Decimal and Mixed Number

218/138 as a decimal and mixed number expansion provides the detailed information about what is 218/138 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

218/138 as a Decimal
218/138 = 1.5797
Hence,
218/138 as a decimal equals to 1.5797
where,
218/138 is a given fraction,
The decimal expansion of 218/138 is 1.5797

218/138 as a Mixed Number
218/138 = (138 + 80)/138
= 138/138 + 80/138
= 1 + 80/138
= 1 80/138
218/138 = 1 80/138

Hence,
218/138 as a mixed number is 1 ⁸⁰/₁₃₈
where,
218/138 is a given fraction,
1 ⁸⁰/₁₃₈ is the mixed number representation of 218/138.

The below work with steps provide the detailed information about how to convert fraction 218/138 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 218/138

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 218/138.

step 2 The numerator is greater than the denominator of the fraction 218/138, so write the given fraction in the expression form in terms of denominator as like the below:
= 218/138
= 138 + 80/138

step 3 Make the above expression as individual fractions:
= 138/138 + 80/138

step 4 Simplify the above expression:
= 1 x 138/138 + 80/138
= 1 + 80/138
= 1 + 40 x 2/69 x 2
= 1 + 40/69
1 + 40/69 can be written as a mixed number 1 ⁴⁰/₆₉.


step 5 Find the decimal equivalent for the fractional part 40/69 in the above expression:
= 1 + 0.5797
= 1.5797
218/138 = 1.5797

Hence,
218/138 as a decimal is 1.5797
218/138 as a mixed number is 1 ⁴⁰/₆₉