162/21 as a Decimal and Mixed Number

162/21 as a decimal and mixed number expansion provides the detailed information about what is 162/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

162/21 as a Decimal
162/21 = 7.7143
Hence,
162/21 as a decimal equals to 7.7143
where,
162/21 is a given fraction,
The decimal expansion of 162/21 is 7.7143

162/21 as a Mixed Number
162/21 = (147 + 15)/21
= 147/21 + 15/21
= 7 + 15/21
= 7 15/21
162/21 = 7 15/21

Hence,
162/21 as a mixed number is 7 ¹⁵/₂₁
where,
162/21 is a given fraction,
7 ¹⁵/₂₁ is the mixed number representation of 162/21.

The below work with steps provide the detailed information about how to convert fraction 162/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 162/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 162/21.

step 2 The numerator is greater than the denominator of the fraction 162/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 162/21
= 147 + 15/21
= (7 x 21) + 15/21

step 3 Make the above expression as individual fractions:
= (7 x 21)/21 + 15/21

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


step 5 Find the decimal equivalent for the fractional part 5/7 in the above expression:
= 7 + 0.7143
= 7.7143
162/21 = 7.7143

Hence,
162/21 as a decimal is 7.7143
162/21 as a mixed number is 7 ⁵/₇