165/143 as a Decimal and Mixed Number

165/143 as a decimal and mixed number expansion provides the detailed information about what is 165/143 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

165/143 as a Decimal
165/143 = 1.1538
Hence,
165/143 as a decimal equals to 1.1538
where,
165/143 is a given fraction,
The decimal expansion of 165/143 is 1.1538

165/143 as a Mixed Number
165/143 = (143 + 22)/143
= 143/143 + 22/143
= 1 + 22/143
= 1 22/143
165/143 = 1 22/143

Hence,
165/143 as a mixed number is 1 ²²/₁₄₃
where,
165/143 is a given fraction,
1 ²²/₁₄₃ is the mixed number representation of 165/143.

The below work with steps provide the detailed information about how to convert fraction 165/143 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 165/143

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 165/143.

step 2 The numerator is greater than the denominator of the fraction 165/143, so write the given fraction in the expression form in terms of denominator as like the below:
= 165/143
= 143 + 22/143

step 3 Make the above expression as individual fractions:
= 143/143 + 22/143

step 4 Simplify the above expression:
= 1 x 143/143 + 22/143
= 1 + 22/143
= 1 + 2 x 11/13 x 11
= 1 + 2/13
1 + 2/13 can be written as a mixed number 1 ²/₁₃.


step 5 Find the decimal equivalent for the fractional part 2/13 in the above expression:
= 1 + 0.1538
= 1.1538
165/143 = 1.1538

Hence,
165/143 as a decimal is 1.1538
165/143 as a mixed number is 1 ²/₁₃