270/22 as a Decimal and Mixed Number

270/22 as a decimal and mixed number expansion provides the detailed information about what is 270/22 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

270/22 as a Decimal
270/22 = 12.2727
Hence,
270/22 as a decimal equals to 12.2727
where,
270/22 is a given fraction,
The decimal expansion of 270/22 is 12.2727

270/22 as a Mixed Number
270/22 = (264 + 6)/22
= 264/22 + 6/22
= 12 + 6/22
= 12 6/22
270/22 = 12 6/22

Hence,
270/22 as a mixed number is 12 ⁶/₂₂
where,
270/22 is a given fraction,
12 ⁶/₂₂ is the mixed number representation of 270/22.

The below work with steps provide the detailed information about how to convert fraction 270/22 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/22

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/22.

step 2 The numerator is greater than the denominator of the fraction 270/22, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/22
= 264 + 6/22
= (12 x 22) + 6/22

step 3 Make the above expression as individual fractions:
= (12 x 22)/22 + 6/22

step 4 Simplify the above expression:
= 12 x 22/22 + 6/22
= 12 + 6/22
= 12 + 3 x 2/11 x 2
= 12 + 3/11
12 + 3/11 can be written as a mixed number 12 ³/₁₁.


step 5 Find the decimal equivalent for the fractional part 3/11 in the above expression:
= 12 + 0.2727
= 12.2727
270/22 = 12.2727

Hence,
270/22 as a decimal is 12.2727
270/22 as a mixed number is 12 ³/₁₁