324/270 as a Decimal and Mixed Number

324/270 as a decimal and mixed number expansion provides the detailed information about what is 324/270 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

324/270 as a Decimal
324/270 = 1.2
Hence,
324/270 as a decimal equals to 1.2
where,
324/270 is a given fraction,
The decimal expansion of 324/270 is 1.2

324/270 as a Mixed Number
324/270 = (270 + 54)/270
= 270/270 + 54/270
= 1 + 54/270
= 1 54/270
324/270 = 1 54/270

Hence,
324/270 as a mixed number is 1 ⁵⁴/₂₇₀
where,
324/270 is a given fraction,
1 ⁵⁴/₂₇₀ is the mixed number representation of 324/270.

The below work with steps provide the detailed information about how to convert fraction 324/270 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 324/270

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 324/270.

step 2 The numerator is greater than the denominator of the fraction 324/270, so write the given fraction in the expression form in terms of denominator as like the below:
= 324/270
= 270 + 54/270

step 3 Make the above expression as individual fractions:
= 270/270 + 54/270

step 4 Simplify the above expression:
= 1 x 270/270 + 54/270
= 1 + 54/270
= 1 + 1 x 54/5 x 54
= 1 + 1/5
1 + 1/5 can be written as a mixed number 1 ¹/₅.


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

step 6 Simplify the above expression further:
= 1 + 0.2
= 1.2
324/270 = 1.2

Hence,
324/270 as a decimal is 1.2
324/270 as a mixed number is 1 ¹/₅