318/242 as a Decimal and Mixed Number

318/242 as a decimal and mixed number expansion provides the detailed information about what is 318/242 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

318/242 as a Decimal
318/242 = 1.314
Hence,
318/242 as a decimal equals to 1.314
where,
318/242 is a given fraction,
The decimal expansion of 318/242 is 1.314

318/242 as a Mixed Number
318/242 = (242 + 76)/242
= 242/242 + 76/242
= 1 + 76/242
= 1 76/242
318/242 = 1 76/242

Hence,
318/242 as a mixed number is 1 ⁷⁶/₂₄₂
where,
318/242 is a given fraction,
1 ⁷⁶/₂₄₂ is the mixed number representation of 318/242.

The below work with steps provide the detailed information about how to convert fraction 318/242 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 318/242

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 318/242.

step 2 The numerator is greater than the denominator of the fraction 318/242, so write the given fraction in the expression form in terms of denominator as like the below:
= 318/242
= 242 + 76/242

step 3 Make the above expression as individual fractions:
= 242/242 + 76/242

step 4 Simplify the above expression:
= 1 x 242/242 + 76/242
= 1 + 76/242
= 1 + 38 x 2/121 x 2
= 1 + 38/121
1 + 38/121 can be written as a mixed number 1 ³⁸/₁₂₁.


step 5 Find the decimal equivalent for the fractional part 38/121 in the above expression:
= 1 + 0.314
= 1.314
318/242 = 1.314

Hence,
318/242 as a decimal is 1.314
318/242 as a mixed number is 1 ³⁸/₁₂₁