16/9 as a Decimal and Mixed Number

16/9 as a decimal and mixed number expansion provides the detailed information about what is 16/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

16/9 as a Decimal Expansion
16/9 = 1.7778
Hence,
16/9 as a decimal equals to 1.7778
where,
16/9 is a given fraction,
The decimal expansion of 16/9 is 1.7778

16/9 as a Mixed Number
16/9 = (9 + 7)/9
= 9/9 + 7/9
= 1 + 7/9
= 1 7/9
16/9 = 1 7/9

Hence,
16/9 as a mixed number is 1 ⁷/₉
where,
16/9 is a given fraction,
1 ⁷/₉ is the mixed number representation of 16/9.

The below work with steps provide the detailed information about how to convert fraction 16/9 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 16/9

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 16/9.

step 2 The numerator is greater than the denominator of the fraction 16/9, so write the given fraction in the expression form in terms of denominator as like the below:
= 16/9
= 9 + 7/9

step 3 Make the above expression as individual fractions:
= 9/9 + 7/9

step 4 Simplify the above expression:
= 1 x 9/9 + 7/9
= 1 + 7/9
1 + 7/9 can be written as a mixed number 1 ⁷/₉.


step 5 Find the decimal equivalent for the fractional part 7/9 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/9. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 7/9.
= 1 + (7/9 x 10/10)

step 6 Simplify the above expression further:
= 1 + (70/9 x 1/10)
= 1 + (63 + 7/9 x 1/10)
= 1 + [(63/9 + 7/9 ) x 1/10]
= 1 + [(7 + 7/9) x 1/10]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 7/9 in the above expression:
= 1 + [(7 + 7/9) x 1/10]
= 1 + [(7 + 0.78) x 1/10]
= 1 + (7.78 x 1/10)
= 1 + 7.78/10
= 1 + 0.778

step 8 Find the sum of above expression:
= 1 + 0.778
= 1.778
16/9 = 1.778

Hence,
16/9 as a decimal is 1.778
16/9 as a mixed number is 1 ⁷/₉