270/12 as a Decimal and Mixed Number

270/12 as a decimal and mixed number expansion provides the detailed information about what is 270/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

270/12 as a Decimal
270/12 = 22.5
Hence,
270/12 as a decimal equals to 22.5
where,
270/12 is a given fraction,
The decimal expansion of 270/12 is 22.5

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

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

The below work with steps provide the detailed information about how to convert fraction 270/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/12.

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

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

step 4 Simplify the above expression:
= 22 x 12/12 + 6/12
= 22 + 6/12
= 22 + 1 x 6/2 x 6
= 22 + 1/2
22 + 1/2 can be written as a mixed number 22 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 22 + (1/2 x 5/5)
= 22 + 5/10

step 6 Simplify the above expression further:
= 22 + 0.5
= 22.5
270/12 = 22.5

Hence,
270/12 as a decimal is 22.5
270/12 as a mixed number is 22 ¹/₂