10/9 as a Decimal and Mixed Number

10/9 as a decimal and mixed number expansion provides the detailed information about what is 10/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

10/9 as a Decimal
10/9 = 1.1111
Hence,
10/9 as a decimal equals to 1.1111
where,
10/9 is a given fraction,
The decimal expansion of 10/9 is 1.1111

10/9 as a Mixed Number
10/9 = (9 + 1)/9
= 9/9 + 1/9
= 1 + 1/9
= 1 1/9
10/9 = 1 1/9

Hence,
10/9 as a mixed number is 1 ¹/₉
where,
10/9 is a given fraction,
1 ¹/₉ is the mixed number representation of 10/9.

The below work with steps provide the detailed information about how to convert fraction 10/9 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 10/9

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 10/9.

step 2 The numerator is greater than the denominator of the fraction 10/9, so write the given fraction in the expression form in terms of denominator as like the below:
= 10/9
= 9 + 1/9

step 3 Make the above expression as individual fractions:
= 9/9 + 1/9

step 4 Simplify the above expression:
= 1 + 1/9
1 + 1/9 can be written as a mixed number 1 ¹/₉


step 5 Find the decimal equivalent for the fractional part 1/9 in the above expression:
= 1 + 0.1111
= 1.1111
10/9 = 1.1111

Hence,
10/9 as a decimal is 1.1111
10/9 as a mixed number is 1 ¹/₉