315/138 as a Decimal and Mixed Number

315/138 as a decimal and mixed number expansion provides the detailed information about what is 315/138 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/138 as a Decimal
315/138 = 2.2826
Hence,
315/138 as a decimal equals to 2.2826
where,
315/138 is a given fraction,
The decimal expansion of 315/138 is 2.2826

315/138 as a Mixed Number
315/138 = (276 + 39)/138
= 276/138 + 39/138
= 2 + 39/138
= 2 39/138
315/138 = 2 39/138

Hence,
315/138 as a mixed number is 2 ³⁹/₁₃₈
where,
315/138 is a given fraction,
2 ³⁹/₁₃₈ is the mixed number representation of 315/138.

The below work with steps provide the detailed information about how to convert fraction 315/138 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/138

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/138.

step 2 The numerator is greater than the denominator of the fraction 315/138, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/138
= 276 + 39/138
= (2 x 138) + 39/138

step 3 Make the above expression as individual fractions:
= (2 x 138)/138 + 39/138

step 4 Simplify the above expression:
= 2 x 138/138 + 39/138
= 2 + 39/138
= 2 + 13 x 3/46 x 3
= 2 + 13/46
2 + 13/46 can be written as a mixed number 2 ¹³/₄₆.


step 5 Find the decimal equivalent for the fractional part 13/46 in the above expression:
= 2 + 0.2826
= 2.2826
315/138 = 2.2826

Hence,
315/138 as a decimal is 2.2826
315/138 as a mixed number is 2 ¹³/₄₆