189/77 as a Decimal and Mixed Number

189/77 as a decimal and mixed number expansion provides the detailed information about what is 189/77 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

189/77 as a Decimal
189/77 = 2.4545
Hence,
189/77 as a decimal equals to 2.4545
where,
189/77 is a given fraction,
The decimal expansion of 189/77 is 2.4545

189/77 as a Mixed Number
189/77 = (154 + 35)/77
= 154/77 + 35/77
= 2 + 35/77
= 2 35/77
189/77 = 2 35/77

Hence,
189/77 as a mixed number is 2 ³⁵/₇₇
where,
189/77 is a given fraction,
2 ³⁵/₇₇ is the mixed number representation of 189/77.

The below work with steps provide the detailed information about how to convert fraction 189/77 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 189/77

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 189/77.

step 2 The numerator is greater than the denominator of the fraction 189/77, so write the given fraction in the expression form in terms of denominator as like the below:
= 189/77
= 154 + 35/77
= (2 x 77) + 35/77

step 3 Make the above expression as individual fractions:
= (2 x 77)/77 + 35/77

step 4 Simplify the above expression:
= 2 x 77/77 + 35/77
= 2 + 35/77
= 2 + 5 x 7/11 x 7
= 2 + 5/11
2 + 5/11 can be written as a mixed number 2 ⁵/₁₁.


step 5 Find the decimal equivalent for the fractional part 5/11 in the above expression:
= 2 + 0.4545
= 2.4545
189/77 = 2.4545

Hence,
189/77 as a decimal is 2.4545
189/77 as a mixed number is 2 ⁵/₁₁