318/138 as a Decimal and Mixed Number

318/138 as a decimal and mixed number expansion provides the detailed information about what is 318/138 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

318/138 as a Decimal
318/138 = 2.3043
Hence,
318/138 as a decimal equals to 2.3043
where,
318/138 is a given fraction,
The decimal expansion of 318/138 is 2.3043

318/138 as a Mixed Number
318/138 = (276 + 42)/138
= 276/138 + 42/138
= 2 + 42/138
= 2 42/138
318/138 = 2 42/138

Hence,
318/138 as a mixed number is 2 ⁴²/₁₃₈
where,
318/138 is a given fraction,
2 ⁴²/₁₃₈ is the mixed number representation of 318/138.

The below work with steps provide the detailed information about how to convert fraction 318/138 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 318/138

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 318/138.

step 2 The numerator is greater than the denominator of the fraction 318/138, so write the given fraction in the expression form in terms of denominator as like the below:
= 318/138
= 276 + 42/138
= (2 x 138) + 42/138

step 3 Make the above expression as individual fractions:
= (2 x 138)/138 + 42/138

step 4 Simplify the above expression:
= 2 x 138/138 + 42/138
= 2 + 42/138
= 2 + 7 x 6/23 x 6
= 2 + 7/23
2 + 7/23 can be written as a mixed number 2 ⁷/₂₃.


step 5 Find the decimal equivalent for the fractional part 7/23 in the above expression:
= 2 + 0.3043
= 2.3043
318/138 = 2.3043

Hence,
318/138 as a decimal is 2.3043
318/138 as a mixed number is 2 ⁷/₂₃