84/77 as a Decimal and Mixed Number

84/77 as a decimal and mixed number expansion provides the detailed information about what is 84/77 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

84/77 as a Decimal
84/77 = 1.0909
Hence,
84/77 as a decimal equals to 1.0909
where,
84/77 is a given fraction,
The decimal expansion of 84/77 is 1.0909

84/77 as a Mixed Number
84/77 = (77 + 7)/77
= 77/77 + 7/77
= 1 + 7/77
= 1 7/77
84/77 = 1 7/77

Hence,
84/77 as a mixed number is 1 ⁷/₇₇
where,
84/77 is a given fraction,
1 ⁷/₇₇ is the mixed number representation of 84/77.

The below work with steps provide the detailed information about how to convert fraction 84/77 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 84/77

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 84/77.

step 2 The numerator is greater than the denominator of the fraction 84/77, so write the given fraction in the expression form in terms of denominator as like the below:
= 84/77
= 77 + 7/77

step 3 Make the above expression as individual fractions:
= 77/77 + 7/77

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


step 5 Find the decimal equivalent for the fractional part 1/11 in the above expression:
= 1 + 0.0909
= 1.0909
84/77 = 1.0909

Hence,
84/77 as a decimal is 1.0909
84/77 as a mixed number is 1 ¹/₁₁