270/4 as a Decimal and Mixed Number

270/4 as a decimal and mixed number expansion provides the detailed information about what is 270/4 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

270/4 as a Decimal
270/4 = 67.5
Hence,
270/4 as a decimal equals to 67.5
where,
270/4 is a given fraction,
The decimal expansion of 270/4 is 67.5

270/4 as a Mixed Number
270/4 = (268 + 2)/4
= 268/4 + 2/4
= 67 + 2/4
= 67 2/4
270/4 = 67 2/4

Hence,
270/4 as a mixed number is 67 ²/₄
where,
270/4 is a given fraction,
67 ²/₄ is the mixed number representation of 270/4.

The below work with steps provide the detailed information about how to convert fraction 270/4 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/4

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/4.

step 2 The numerator is greater than the denominator of the fraction 270/4, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/4
= 268 + 2/4
= (67 x 4) + 2/4

step 3 Make the above expression as individual fractions:
= (67 x 4)/4 + 2/4

step 4 Simplify the above expression:
= 67 x 4/4 + 2/4
= 67 + 2/4
= 67 + 1 x 2/2 x 2
= 67 + 1/2
67 + 1/2 can be written as a mixed number 67 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:
= 67 + (1/2 x 5/5)
= 67 + 5/10

step 6 Simplify the above expression further:
= 67 + 0.5
= 67.5
270/4 = 67.5

Hence,
270/4 as a decimal is 67.5
270/4 as a mixed number is 67 ¹/₂