264/209 as a Decimal and Mixed Number

264/209 as a decimal and mixed number expansion provides the detailed information about what is 264/209 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

264/209 as a Decimal
264/209 = 1.2632
Hence,
264/209 as a decimal equals to 1.2632
where,
264/209 is a given fraction,
The decimal expansion of 264/209 is 1.2632

264/209 as a Mixed Number
264/209 = (209 + 55)/209
= 209/209 + 55/209
= 1 + 55/209
= 1 55/209
264/209 = 1 55/209

Hence,
264/209 as a mixed number is 1 ⁵⁵/₂₀₉
where,
264/209 is a given fraction,
1 ⁵⁵/₂₀₉ is the mixed number representation of 264/209.

The below work with steps provide the detailed information about how to convert fraction 264/209 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 264/209

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 264/209.

step 2 The numerator is greater than the denominator of the fraction 264/209, so write the given fraction in the expression form in terms of denominator as like the below:
= 264/209
= 209 + 55/209

step 3 Make the above expression as individual fractions:
= 209/209 + 55/209

step 4 Simplify the above expression:
= 1 x 209/209 + 55/209
= 1 + 55/209
= 1 + 5 x 11/19 x 11
= 1 + 5/19
1 + 5/19 can be written as a mixed number 1 ⁵/₁₉.


step 5 Find the decimal equivalent for the fractional part 5/19 in the above expression:
= 1 + 0.2632
= 1.2632
264/209 = 1.2632

Hence,
264/209 as a decimal is 1.2632
264/209 as a mixed number is 1 ⁵/₁₉