284/264 as a Decimal and Mixed Number

284/264 as a decimal and mixed number expansion provides the detailed information about what is 284/264 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

284/264 as a Decimal
284/264 = 1.0758
Hence,
284/264 as a decimal equals to 1.0758
where,
284/264 is a given fraction,
The decimal expansion of 284/264 is 1.0758

284/264 as a Mixed Number
284/264 = (264 + 20)/264
= 264/264 + 20/264
= 1 + 20/264
= 1 20/264
284/264 = 1 20/264

Hence,
284/264 as a mixed number is 1 ²⁰/₂₆₄
where,
284/264 is a given fraction,
1 ²⁰/₂₆₄ is the mixed number representation of 284/264.

The below work with steps provide the detailed information about how to convert fraction 284/264 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 284/264

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 284/264.

step 2 The numerator is greater than the denominator of the fraction 284/264, so write the given fraction in the expression form in terms of denominator as like the below:
= 284/264
= 264 + 20/264

step 3 Make the above expression as individual fractions:
= 264/264 + 20/264

step 4 Simplify the above expression:
= 1 x 264/264 + 20/264
= 1 + 20/264
= 1 + 5 x 4/66 x 4
= 1 + 5/66
1 + 5/66 can be written as a mixed number 1 ⁵/₆₆.


step 5 Find the decimal equivalent for the fractional part 5/66 in the above expression:
= 1 + 0.0758
= 1.0758
284/264 = 1.0758

Hence,
284/264 as a decimal is 1.0758
284/264 as a mixed number is 1 ⁵/₆₆