170/21 as a Decimal and Mixed Number

170/21 as a decimal and mixed number expansion provides the detailed information about what is 170/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

170/21 as a Decimal
170/21 = 8.0952
Hence,
170/21 as a decimal equals to 8.0952
where,
170/21 is a given fraction,
The decimal expansion of 170/21 is 8.0952

170/21 as a Mixed Number
170/21 = (168 + 2)/21
= 168/21 + 2/21
= 8 + 2/21
= 8 2/21
170/21 = 8 2/21

Hence,
170/21 as a mixed number is 8 ²/₂₁
where,
170/21 is a given fraction,
8 ²/₂₁ is the mixed number representation of 170/21.

The below work with steps provide the detailed information about how to convert fraction 170/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 170/21

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 170/21.

step 2 The numerator is greater than the denominator of the fraction 170/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 170/21
= 168 + 2/21
= (8 x 21) + 2/21

step 3 Make the above expression as individual fractions:
= (8 x 21)/21 + 2/21

step 4 Simplify the above expression:
= 8 x 21/21 + 2/21
= 8 + 2/21
8 + 2/21 can be written as a mixed number 8 ²/₂₁.


step 5 Find the decimal equivalent for the fractional part 2/21 in the above expression:
= 8 + 0.0952
= 8.0952
170/21 = 8.0952

Hence,
170/21 as a decimal is 8.0952
170/21 as a mixed number is 8 ²/₂₁