264/21 as a Decimal and Mixed Number

264/21 as a decimal and mixed number expansion provides the detailed information about what is 264/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

264/21 as a Decimal
264/21 = 12.5714
Hence,
264/21 as a decimal equals to 12.5714
where,
264/21 is a given fraction,
The decimal expansion of 264/21 is 12.5714

264/21 as a Mixed Number
264/21 = (252 + 12)/21
= 252/21 + 12/21
= 12 + 12/21
= 12 12/21
264/21 = 12 12/21

Hence,
264/21 as a mixed number is 12 ¹²/₂₁
where,
264/21 is a given fraction,
12 ¹²/₂₁ is the mixed number representation of 264/21.

The below work with steps provide the detailed information about how to convert fraction 264/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 264/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 264/21.

step 2 The numerator is greater than the denominator of the fraction 264/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 264/21
= 252 + 12/21
= (12 x 21) + 12/21

step 3 Make the above expression as individual fractions:
= (12 x 21)/21 + 12/21

step 4 Simplify the above expression:
= 12 x 21/21 + 12/21
= 12 + 12/21
= 12 + 4 x 3/7 x 3
= 12 + 4/7
12 + 4/7 can be written as a mixed number 12 ⁴/₇.


step 5 Find the decimal equivalent for the fractional part 4/7 in the above expression:
= 12 + 0.5714
= 12.5714
264/21 = 12.5714

Hence,
264/21 as a decimal is 12.5714
264/21 as a mixed number is 12 ⁴/₇