165/77 as a Decimal and Mixed Number

165/77 as a decimal and mixed number expansion provides the detailed information about what is 165/77 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

165/77 as a Decimal
165/77 = 2.1429
Hence,
165/77 as a decimal equals to 2.1429
where,
165/77 is a given fraction,
The decimal expansion of 165/77 is 2.1429

165/77 as a Mixed Number
165/77 = (154 + 11)/77
= 154/77 + 11/77
= 2 + 11/77
= 2 11/77
165/77 = 2 11/77

Hence,
165/77 as a mixed number is 2 ¹¹/₇₇
where,
165/77 is a given fraction,
2 ¹¹/₇₇ is the mixed number representation of 165/77.

The below work with steps provide the detailed information about how to convert fraction 165/77 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 165/77

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 165/77.

step 2 The numerator is greater than the denominator of the fraction 165/77, so write the given fraction in the expression form in terms of denominator as like the below:
= 165/77
= 154 + 11/77
= (2 x 77) + 11/77

step 3 Make the above expression as individual fractions:
= (2 x 77)/77 + 11/77

step 4 Simplify the above expression:
= 2 x 77/77 + 11/77
= 2 + 11/77
= 2 + 1 x 11/7 x 11
= 2 + 1/7
2 + 1/7 can be written as a mixed number 2 ¹/₇.


step 5 Find the decimal equivalent for the fractional part 1/7 in the above expression:
= 2 + 0.1429
= 2.1429
165/77 = 2.1429

Hence,
165/77 as a decimal is 2.1429
165/77 as a mixed number is 2 ¹/₇