242/165 as a Decimal and Mixed Number

242/165 as a decimal and mixed number expansion provides the detailed information about what is 242/165 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

242/165 as a Decimal
242/165 = 1.4667
Hence,
242/165 as a decimal equals to 1.4667
where,
242/165 is a given fraction,
The decimal expansion of 242/165 is 1.4667

242/165 as a Mixed Number
242/165 = (165 + 77)/165
= 165/165 + 77/165
= 1 + 77/165
= 1 77/165
242/165 = 1 77/165

Hence,
242/165 as a mixed number is 1 ⁷⁷/₁₆₅
where,
242/165 is a given fraction,
1 ⁷⁷/₁₆₅ is the mixed number representation of 242/165.

The below work with steps provide the detailed information about how to convert fraction 242/165 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 242/165

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 242/165.

step 2 The numerator is greater than the denominator of the fraction 242/165, so write the given fraction in the expression form in terms of denominator as like the below:
= 242/165
= 165 + 77/165

step 3 Make the above expression as individual fractions:
= 165/165 + 77/165

step 4 Simplify the above expression:
= 1 x 165/165 + 77/165
= 1 + 77/165
= 1 + 7 x 11/15 x 11
= 1 + 7/15
1 + 7/15 can be written as a mixed number 1 ⁷/₁₅.


step 5 Find the decimal equivalent for the fractional part 7/15 in the above expression:
= 1 + 0.4667
= 1.4667
242/165 = 1.4667

Hence,
242/165 as a decimal is 1.4667
242/165 as a mixed number is 1 ⁷/₁₅