310/238 as a Decimal and Mixed Number

310/238 as a decimal and mixed number expansion provides the detailed information about what is 310/238 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

310/238 as a Decimal
310/238 = 1.3025
Hence,
310/238 as a decimal equals to 1.3025
where,
310/238 is a given fraction,
The decimal expansion of 310/238 is 1.3025

310/238 as a Mixed Number
310/238 = (238 + 72)/238
= 238/238 + 72/238
= 1 + 72/238
= 1 72/238
310/238 = 1 72/238

Hence,
310/238 as a mixed number is 1 ⁷²/₂₃₈
where,
310/238 is a given fraction,
1 ⁷²/₂₃₈ is the mixed number representation of 310/238.

The below work with steps provide the detailed information about how to convert fraction 310/238 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 310/238

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 310/238.

step 2 The numerator is greater than the denominator of the fraction 310/238, so write the given fraction in the expression form in terms of denominator as like the below:
= 310/238
= 238 + 72/238

step 3 Make the above expression as individual fractions:
= 238/238 + 72/238

step 4 Simplify the above expression:
= 1 x 238/238 + 72/238
= 1 + 72/238
= 1 + 36 x 2/119 x 2
= 1 + 36/119
1 + 36/119 can be written as a mixed number 1 ³⁶/₁₁₉.


step 5 Find the decimal equivalent for the fractional part 36/119 in the above expression:
= 1 + 0.3025
= 1.3025
310/238 = 1.3025

Hence,
310/238 as a decimal is 1.3025
310/238 as a mixed number is 1 ³⁶/₁₁₉