84/69 as a Decimal and Mixed Number

84/69 as a decimal and mixed number expansion provides the detailed information about what is 84/69 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

84/69 as a Decimal
84/69 = 1.2174
Hence,
84/69 as a decimal equals to 1.2174
where,
84/69 is a given fraction,
The decimal expansion of 84/69 is 1.2174

84/69 as a Mixed Number
84/69 = (69 + 15)/69
= 69/69 + 15/69
= 1 + 15/69
= 1 15/69
84/69 = 1 15/69

Hence,
84/69 as a mixed number is 1 ¹⁵/₆₉
where,
84/69 is a given fraction,
1 ¹⁵/₆₉ is the mixed number representation of 84/69.

The below work with steps provide the detailed information about how to convert fraction 84/69 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 84/69

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 84/69.

step 2 The numerator is greater than the denominator of the fraction 84/69, so write the given fraction in the expression form in terms of denominator as like the below:
= 84/69
= 69 + 15/69

step 3 Make the above expression as individual fractions:
= 69/69 + 15/69

step 4 Simplify the above expression:
= 1 x 69/69 + 15/69
= 1 + 15/69
= 1 + 5 x 3/23 x 3
= 1 + 5/23
1 + 5/23 can be written as a mixed number 1 ⁵/₂₃.


step 5 Find the decimal equivalent for the fractional part 5/23 in the above expression:
= 1 + 0.2174
= 1.2174
84/69 = 1.2174

Hence,
84/69 as a decimal is 1.2174
84/69 as a mixed number is 1 ⁵/₂₃