109/84 as a Decimal and Mixed Number

109/84 as a decimal and mixed number expansion provides the detailed information about what is 109/84 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

109/84 as a Decimal
109/84 = 1.2976
Hence,
109/84 as a decimal equals to 1.2976
where,
109/84 is a given fraction,
The decimal expansion of 109/84 is 1.2976

109/84 as a Mixed Number
109/84 = (84 + 25)/84
= 84/84 + 25/84
= 1 + 25/84
= 1 25/84
109/84 = 1 25/84

Hence,
109/84 as a mixed number is 1 ²⁵/₈₄
where,
109/84 is a given fraction,
1 ²⁵/₈₄ is the mixed number representation of 109/84.

The below work with steps provide the detailed information about how to convert fraction 109/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 109/84

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 109/84.

step 2 The numerator is greater than the denominator of the fraction 109/84, so write the given fraction in the expression form in terms of denominator as like the below:
= 109/84
= 84 + 25/84

step 3 Make the above expression as individual fractions:
= 84/84 + 25/84

step 4 Simplify the above expression:
= 1 x 84/84 + 25/84
= 1 + 25/84
1 + 25/84 can be written as a mixed number 1 ²⁵/₈₄.


step 5 Find the decimal equivalent for the fractional part 25/84 in the above expression:
= 1 + 0.2976
= 1.2976
109/84 = 1.2976

Hence,
109/84 as a decimal is 1.2976
109/84 as a mixed number is 1 ²⁵/₈₄