89/79 as a Decimal and Mixed Number

89/79 as a decimal and mixed number expansion provides the detailed information about what is 89/79 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

89/79 as a Decimal
89/79 = 1.1266
Hence,
89/79 as a decimal equals to 1.1266
where,
89/79 is a given fraction,
The decimal expansion of 89/79 is 1.1266

89/79 as a Mixed Number
89/79 = (79 + 10)/79
= 79/79 + 10/79
= 1 + 10/79
= 1 10/79
89/79 = 1 10/79

Hence,
89/79 as a mixed number is 1 ¹⁰/₇₉
where,
89/79 is a given fraction,
1 ¹⁰/₇₉ is the mixed number representation of 89/79.

The below work with steps provide the detailed information about how to convert fraction 89/79 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 89/79

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 89/79.

step 2 The numerator is greater than the denominator of the fraction 89/79, so write the given fraction in the expression form in terms of denominator as like the below:
= 89/79
= 79 + 10/79

step 3 Make the above expression as individual fractions:
= 79/79 + 10/79

step 4 Simplify the above expression:
= 1 x 79/79 + 10/79
= 1 + 10/79
1 + 10/79 can be written as a mixed number 1 ¹⁰/₇₉.


step 5 Find the decimal equivalent for the fractional part 10/79 in the above expression:
= 1 + 0.1266
= 1.1266
89/79 = 1.1266

Hence,
89/79 as a decimal is 1.1266
89/79 as a mixed number is 1 ¹⁰/₇₉