172/165 as a Decimal and Mixed Number

172/165 as a decimal and mixed number expansion provides the detailed information about what is 172/165 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

172/165 as a Decimal
172/165 = 1.0424
Hence,
172/165 as a decimal equals to 1.0424
where,
172/165 is a given fraction,
The decimal expansion of 172/165 is 1.0424

172/165 as a Mixed Number
172/165 = (165 + 7)/165
= 165/165 + 7/165
= 1 + 7/165
= 1 7/165
172/165 = 1 7/165

Hence,
172/165 as a mixed number is 1 ⁷/₁₆₅
where,
172/165 is a given fraction,
1 ⁷/₁₆₅ is the mixed number representation of 172/165.

The below work with steps provide the detailed information about how to convert fraction 172/165 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 172/165

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 172/165.

step 2 The numerator is greater than the denominator of the fraction 172/165, so write the given fraction in the expression form in terms of denominator as like the below:
= 172/165
= 165 + 7/165

step 3 Make the above expression as individual fractions:
= 165/165 + 7/165

step 4 Simplify the above expression:
= 1 x 165/165 + 7/165
= 1 + 7/165
1 + 7/165 can be written as a mixed number 1 ⁷/₁₆₅.


step 5 Find the decimal equivalent for the fractional part 7/165 in the above expression:
= 1 + 0.0424
= 1.0424
172/165 = 1.0424

Hence,
172/165 as a decimal is 1.0424
172/165 as a mixed number is 1 ⁷/₁₆₅