246/21 as a Decimal and Mixed Number

246/21 as a decimal and mixed number expansion provides the detailed information about what is 246/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

246/21 as a Decimal
246/21 = 11.7143
Hence,
246/21 as a decimal equals to 11.7143
where,
246/21 is a given fraction,
The decimal expansion of 246/21 is 11.7143

246/21 as a Mixed Number
246/21 = (231 + 15)/21
= 231/21 + 15/21
= 11 + 15/21
= 11 15/21
246/21 = 11 15/21

Hence,
246/21 as a mixed number is 11 ¹⁵/₂₁
where,
246/21 is a given fraction,
11 ¹⁵/₂₁ is the mixed number representation of 246/21.

The below work with steps provide the detailed information about how to convert fraction 246/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 246/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 246/21.

step 2 The numerator is greater than the denominator of the fraction 246/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 246/21
= 231 + 15/21
= (11 x 21) + 15/21

step 3 Make the above expression as individual fractions:
= (11 x 21)/21 + 15/21

step 4 Simplify the above expression:
= 11 x 21/21 + 15/21
= 11 + 15/21
= 11 + 5 x 3/7 x 3
= 11 + 5/7
11 + 5/7 can be written as a mixed number 11 ⁵/₇.


step 5 Find the decimal equivalent for the fractional part 5/7 in the above expression:
= 11 + 0.7143
= 11.7143
246/21 = 11.7143

Hence,
246/21 as a decimal is 11.7143
246/21 as a mixed number is 11 ⁵/₇