108/21 as a Decimal and Mixed Number

108/21 as a decimal and mixed number expansion provides the detailed information about what is 108/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

108/21 as a Decimal
108/21 = 5.1429
Hence,
108/21 as a decimal equals to 5.1429
where,
108/21 is a given fraction,
The decimal expansion of 108/21 is 5.1429

108/21 as a Mixed Number
108/21 = (105 + 3)/21
= 105/21 + 3/21
= 5 + 3/21
= 5 3/21
108/21 = 5 3/21

Hence,
108/21 as a mixed number is 5 ³/₂₁
where,
108/21 is a given fraction,
5 ³/₂₁ is the mixed number representation of 108/21.

The below work with steps provide the detailed information about how to convert fraction 108/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 108/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 108/21.

step 2 The numerator is greater than the denominator of the fraction 108/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 108/21
= 105 + 3/21
= (5 x 21) + 3/21

step 3 Make the above expression as individual fractions:
= (5 x 21)/21 + 3/21

step 4 Simplify the above expression:
= 5 x 21/21 + 3/21
= 5 + 3/21
= 5 + 1 x 3/7 x 3
= 5 + 1/7
5 + 1/7 can be written as a mixed number 5 ¹/₇.


step 5 Find the decimal equivalent for the fractional part 1/7 in the above expression:
= 5 + 0.1429
= 5.1429
108/21 = 5.1429

Hence,
108/21 as a decimal is 5.1429
108/21 as a mixed number is 5 ¹/₇