264/218 as a Decimal and Mixed Number

264/218 as a decimal and mixed number expansion provides the detailed information about what is 264/218 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

264/218 as a Decimal
264/218 = 1.211
Hence,
264/218 as a decimal equals to 1.211
where,
264/218 is a given fraction,
The decimal expansion of 264/218 is 1.211

264/218 as a Mixed Number
264/218 = (218 + 46)/218
= 218/218 + 46/218
= 1 + 46/218
= 1 46/218
264/218 = 1 46/218

Hence,
264/218 as a mixed number is 1 ⁴⁶/₂₁₈
where,
264/218 is a given fraction,
1 ⁴⁶/₂₁₈ is the mixed number representation of 264/218.

The below work with steps provide the detailed information about how to convert fraction 264/218 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 264/218

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 264/218.

step 2 The numerator is greater than the denominator of the fraction 264/218, so write the given fraction in the expression form in terms of denominator as like the below:
= 264/218
= 218 + 46/218

step 3 Make the above expression as individual fractions:
= 218/218 + 46/218

step 4 Simplify the above expression:
= 1 x 218/218 + 46/218
= 1 + 46/218
= 1 + 23 x 2/109 x 2
= 1 + 23/109
1 + 23/109 can be written as a mixed number 1 ²³/₁₀₉.


step 5 Find the decimal equivalent for the fractional part 23/109 in the above expression:
= 1 + 0.211
= 1.211
264/218 = 1.211

Hence,
264/218 as a decimal is 1.211
264/218 as a mixed number is 1 ²³/₁₀₉