309/264 as a Decimal and Mixed Number

309/264 as a decimal and mixed number expansion provides the detailed information about what is 309/264 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

309/264 as a Decimal
309/264 = 1.1705
Hence,
309/264 as a decimal equals to 1.1705
where,
309/264 is a given fraction,
The decimal expansion of 309/264 is 1.1705

309/264 as a Mixed Number
309/264 = (264 + 45)/264
= 264/264 + 45/264
= 1 + 45/264
= 1 45/264
309/264 = 1 45/264

Hence,
309/264 as a mixed number is 1 ⁴⁵/₂₆₄
where,
309/264 is a given fraction,
1 ⁴⁵/₂₆₄ is the mixed number representation of 309/264.

The below work with steps provide the detailed information about how to convert fraction 309/264 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 309/264

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 309/264.

step 2 The numerator is greater than the denominator of the fraction 309/264, so write the given fraction in the expression form in terms of denominator as like the below:
= 309/264
= 264 + 45/264

step 3 Make the above expression as individual fractions:
= 264/264 + 45/264

step 4 Simplify the above expression:
= 1 x 264/264 + 45/264
= 1 + 45/264
= 1 + 15 x 3/88 x 3
= 1 + 15/88
1 + 15/88 can be written as a mixed number 1 ¹⁵/₈₈.


step 5 Find the decimal equivalent for the fractional part 15/88 in the above expression:
= 1 + 0.1705
= 1.1705
309/264 = 1.1705

Hence,
309/264 as a decimal is 1.1705
309/264 as a mixed number is 1 ¹⁵/₈₈