264/36 as a Decimal and Mixed Number

264/36 as a decimal and mixed number expansion provides the detailed information about what is 264/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

264/36 as a Decimal
264/36 = 7.3333
Hence,
264/36 as a decimal equals to 7.3333
where,
264/36 is a given fraction,
The decimal expansion of 264/36 is 7.3333

264/36 as a Mixed Number
264/36 = (252 + 12)/36
= 252/36 + 12/36
= 7 + 12/36
= 7 12/36
264/36 = 7 12/36

Hence,
264/36 as a mixed number is 7 ¹²/₃₆
where,
264/36 is a given fraction,
7 ¹²/₃₆ is the mixed number representation of 264/36.

The below work with steps provide the detailed information about how to convert fraction 264/36 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 264/36

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 264/36.

step 2 The numerator is greater than the denominator of the fraction 264/36, so write the given fraction in the expression form in terms of denominator as like the below:
= 264/36
= 252 + 12/36
= (7 x 36) + 12/36

step 3 Make the above expression as individual fractions:
= (7 x 36)/36 + 12/36

step 4 Simplify the above expression:
= 7 x 36/36 + 12/36
= 7 + 12/36
= 7 + 1 x 12/3 x 12
= 7 + 1/3
7 + 1/3 can be written as a mixed number 7 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 7 + 0.3333
= 7.3333
264/36 = 7.3333

Hence,
264/36 as a decimal is 7.3333
264/36 as a mixed number is 7 ¹/₃