74/9 as a Decimal and Mixed Number

74/9 as a decimal and mixed number expansion provides the detailed information about what is 74/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

74/9 as a Decimal
74/9 = 8.2222
Hence,
74/9 as a decimal equals to 8.2222
where,
74/9 is a given fraction,
The decimal expansion of 74/9 is 8.2222

74/9 as a Mixed Number
74/9 = (72 + 2)/9
= 72/9 + 2/9
= 8 + 2/9
= 8 2/9
74/9 = 8 2/9

Hence,
74/9 as a mixed number is 8 ²/₉
where,
74/9 is a given fraction,
8 ²/₉ is the mixed number representation of 74/9.

The below work with steps provide the detailed information about how to convert fraction 74/9 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 74/9

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 74/9.

step 2 The numerator is greater than the denominator of the fraction 74/9, so write the given fraction in the expression form in terms of denominator as like the below:
= 74/9
= 72 + 2/9
= (8 x 9) + 2/9

step 3 Make the above expression as individual fractions:
= (8 x 9)/9 + 2/9

step 4 Simplify the above expression:
= 8 x 9/9 + 2/9
= 8 + 2/9
8 + 2/9 can be written as a mixed number 8 ²/₉.


step 5 Find the decimal equivalent for the fractional part 2/9 in the above expression:
= 8 + 0.2222
= 8.2222
74/9 = 8.2222

Hence,
74/9 as a decimal is 8.2222
74/9 as a mixed number is 8 ²/₉