345/318 as a Decimal and Mixed Number

345/318 as a decimal and mixed number expansion provides the detailed information about what is 345/318 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/318 as a Decimal
345/318 = 1.0849
Hence,
345/318 as a decimal equals to 1.0849
where,
345/318 is a given fraction,
The decimal expansion of 345/318 is 1.0849

345/318 as a Mixed Number
345/318 = (318 + 27)/318
= 318/318 + 27/318
= 1 + 27/318
= 1 27/318
345/318 = 1 27/318

Hence,
345/318 as a mixed number is 1 ²⁷/₃₁₈
where,
345/318 is a given fraction,
1 ²⁷/₃₁₈ is the mixed number representation of 345/318.

The below work with steps provide the detailed information about how to convert fraction 345/318 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/318

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/318.

step 2 The numerator is greater than the denominator of the fraction 345/318, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/318
= 318 + 27/318

step 3 Make the above expression as individual fractions:
= 318/318 + 27/318

step 4 Simplify the above expression:
= 1 x 318/318 + 27/318
= 1 + 27/318
= 1 + 9 x 3/106 x 3
= 1 + 9/106
1 + 9/106 can be written as a mixed number 1 ⁹/₁₀₆.


step 5 Find the decimal equivalent for the fractional part 9/106 in the above expression:
= 1 + 0.0849
= 1.0849
345/318 = 1.0849

Hence,
345/318 as a decimal is 1.0849
345/318 as a mixed number is 1 ⁹/₁₀₆