318/231 as a Decimal and Mixed Number

318/231 as a decimal and mixed number expansion provides the detailed information about what is 318/231 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

318/231 as a Decimal
318/231 = 1.3766
Hence,
318/231 as a decimal equals to 1.3766
where,
318/231 is a given fraction,
The decimal expansion of 318/231 is 1.3766

318/231 as a Mixed Number
318/231 = (231 + 87)/231
= 231/231 + 87/231
= 1 + 87/231
= 1 87/231
318/231 = 1 87/231

Hence,
318/231 as a mixed number is 1 ⁸⁷/₂₃₁
where,
318/231 is a given fraction,
1 ⁸⁷/₂₃₁ is the mixed number representation of 318/231.

The below work with steps provide the detailed information about how to convert fraction 318/231 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 318/231

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 318/231.

step 2 The numerator is greater than the denominator of the fraction 318/231, so write the given fraction in the expression form in terms of denominator as like the below:
= 318/231
= 231 + 87/231

step 3 Make the above expression as individual fractions:
= 231/231 + 87/231

step 4 Simplify the above expression:
= 1 x 231/231 + 87/231
= 1 + 87/231
= 1 + 29 x 3/77 x 3
= 1 + 29/77
1 + 29/77 can be written as a mixed number 1 ²⁹/₇₇.


step 5 Find the decimal equivalent for the fractional part 29/77 in the above expression:
= 1 + 0.3766
= 1.3766
318/231 = 1.3766

Hence,
318/231 as a decimal is 1.3766
318/231 as a mixed number is 1 ²⁹/₇₇