274/18 as a Decimal and Mixed Number

274/18 as a decimal and mixed number expansion provides the detailed information about what is 274/18 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

274/18 as a Decimal
274/18 = 15.2222
Hence,
274/18 as a decimal equals to 15.2222
where,
274/18 is a given fraction,
The decimal expansion of 274/18 is 15.2222

274/18 as a Mixed Number
274/18 = (270 + 4)/18
= 270/18 + 4/18
= 15 + 4/18
= 15 4/18
274/18 = 15 4/18

Hence,
274/18 as a mixed number is 15 ⁴/₁₈
where,
274/18 is a given fraction,
15 ⁴/₁₈ is the mixed number representation of 274/18.

The below work with steps provide the detailed information about how to convert fraction 274/18 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 274/18

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 274/18.

step 2 The numerator is greater than the denominator of the fraction 274/18, so write the given fraction in the expression form in terms of denominator as like the below:
= 274/18
= 270 + 4/18
= (15 x 18) + 4/18

step 3 Make the above expression as individual fractions:
= (15 x 18)/18 + 4/18

step 4 Simplify the above expression:
= 15 x 18/18 + 4/18
= 15 + 4/18
= 15 + 2 x 2/9 x 2
= 15 + 2/9
15 + 2/9 can be written as a mixed number 15 ²/₉.


step 5 Find the decimal equivalent for the fractional part 2/9 in the above expression:
= 15 + 0.2222
= 15.2222
274/18 = 15.2222

Hence,
274/18 as a decimal is 15.2222
274/18 as a mixed number is 15 ²/₉