350/138 as a Decimal and Mixed Number

350/138 as a decimal and mixed number expansion provides the detailed information about what is 350/138 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

350/138 as a Decimal
350/138 = 2.5362
Hence,
350/138 as a decimal equals to 2.5362
where,
350/138 is a given fraction,
The decimal expansion of 350/138 is 2.5362

350/138 as a Mixed Number
350/138 = (276 + 74)/138
= 276/138 + 74/138
= 2 + 74/138
= 2 74/138
350/138 = 2 74/138

Hence,
350/138 as a mixed number is 2 ⁷⁴/₁₃₈
where,
350/138 is a given fraction,
2 ⁷⁴/₁₃₈ is the mixed number representation of 350/138.

The below work with steps provide the detailed information about how to convert fraction 350/138 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 350/138

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 350/138.

step 2 The numerator is greater than the denominator of the fraction 350/138, so write the given fraction in the expression form in terms of denominator as like the below:
= 350/138
= 276 + 74/138
= (2 x 138) + 74/138

step 3 Make the above expression as individual fractions:
= (2 x 138)/138 + 74/138

step 4 Simplify the above expression:
= 2 x 138/138 + 74/138
= 2 + 74/138
= 2 + 37 x 2/69 x 2
= 2 + 37/69
2 + 37/69 can be written as a mixed number 2 ³⁷/₆₉.


step 5 Find the decimal equivalent for the fractional part 37/69 in the above expression:
= 2 + 0.5362
= 2.5362
350/138 = 2.5362

Hence,
350/138 as a decimal is 2.5362
350/138 as a mixed number is 2 ³⁷/₆₉