306/270 as a Decimal and Mixed Number

306/270 as a decimal and mixed number expansion provides the detailed information about what is 306/270 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

306/270 as a Decimal
306/270 = 1.1333
Hence,
306/270 as a decimal equals to 1.1333
where,
306/270 is a given fraction,
The decimal expansion of 306/270 is 1.1333

306/270 as a Mixed Number
306/270 = (270 + 36)/270
= 270/270 + 36/270
= 1 + 36/270
= 1 36/270
306/270 = 1 36/270

Hence,
306/270 as a mixed number is 1 ³⁶/₂₇₀
where,
306/270 is a given fraction,
1 ³⁶/₂₇₀ is the mixed number representation of 306/270.

The below work with steps provide the detailed information about how to convert fraction 306/270 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 306/270

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 306/270.

step 2 The numerator is greater than the denominator of the fraction 306/270, so write the given fraction in the expression form in terms of denominator as like the below:
= 306/270
= 270 + 36/270

step 3 Make the above expression as individual fractions:
= 270/270 + 36/270

step 4 Simplify the above expression:
= 1 x 270/270 + 36/270
= 1 + 36/270
= 1 + 2 x 18/15 x 18
= 1 + 2/15
1 + 2/15 can be written as a mixed number 1 ²/₁₅.


step 5 Find the decimal equivalent for the fractional part 2/15 in the above expression:
= 1 + 0.1333
= 1.1333
306/270 = 1.1333

Hence,
306/270 as a decimal is 1.1333
306/270 as a mixed number is 1 ²/₁₅