270/218 as a Decimal and Mixed Number

270/218 as a decimal and mixed number expansion provides the detailed information about what is 270/218 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

270/218 as a Decimal
270/218 = 1.2385
Hence,
270/218 as a decimal equals to 1.2385
where,
270/218 is a given fraction,
The decimal expansion of 270/218 is 1.2385

270/218 as a Mixed Number
270/218 = (218 + 52)/218
= 218/218 + 52/218
= 1 + 52/218
= 1 52/218
270/218 = 1 52/218

Hence,
270/218 as a mixed number is 1 ⁵²/₂₁₈
where,
270/218 is a given fraction,
1 ⁵²/₂₁₈ is the mixed number representation of 270/218.

The below work with steps provide the detailed information about how to convert fraction 270/218 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/218

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/218.

step 2 The numerator is greater than the denominator of the fraction 270/218, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/218
= 218 + 52/218

step 3 Make the above expression as individual fractions:
= 218/218 + 52/218

step 4 Simplify the above expression:
= 1 x 218/218 + 52/218
= 1 + 52/218
= 1 + 26 x 2/109 x 2
= 1 + 26/109
1 + 26/109 can be written as a mixed number 1 ²⁶/₁₀₉.


step 5 Find the decimal equivalent for the fractional part 26/109 in the above expression:
= 1 + 0.2385
= 1.2385
270/218 = 1.2385

Hence,
270/218 as a decimal is 1.2385
270/218 as a mixed number is 1 ²⁶/₁₀₉