83/9 as a Decimal and Mixed Number
83/9 as a decimal and mixed number expansion provides the detailed information about what is 83/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
83/9 as a Decimal Expansion
83/9 = 9.2222
Hence,
83/9 as a decimal equals to 9.2222
where,
83/9 is a given fraction,
The decimal expansion of 83/9 is 9.2222
83/9 as a Mixed Number
83/9 = (81 + 2)/9
= 81/9 + 2/9
= 9 + 2/9
= 9 2/9
83/9 = 9 2/9
Hence,
83/9 as a mixed number is 9 2/9
where,
83/9 is a given fraction,
9 2/9 is the mixed number representation of 83/9.
How-to: 83/9 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 83/9 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 83/9
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 83/9.
step 2 The numerator is greater than the denominator of the fraction 83/9, so write the given fraction in the expression form in terms of denominator as like the below:
= 83/9
= 81 + 2/9
= (9 x 9) + 2/9
step 3 Make the above expression as individual fractions:
= (9 x 9)/9 + 2/9
step 4 Simplify the above expression:
= 9 x 9/9 + 2/9
= 9 + 2/9
9 + 2/9 can be written as a mixed number 9 2/9.
step 5 Find the decimal equivalent for the fractional part 2/9 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 2/9. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 2/9.
= 9 + (2/9 x 10/10)
step 6 Simplify the above expression further:
= 9 + (20/9 x 1/10)
= 9 + (18 + 2/9 x 1/10)
= 9 + [(18/9 + 2/9 ) x 1/10]
= 9 + [(2 + 2/9) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/9 in the above expression:
= 9 + [(2 + 2/9) x 1/10]
= 9 + [(2 + 0.22) x 1/10]
= 9 + (2.22 x 1/10)
= 9 + 2.22/10
= 9 + 0.222
step 8 Find the sum of above expression:
= 9 + 0.222
= 9.222
83/9 = 9.222
Hence,
83/9 as a decimal is 9.222
83/9 as a mixed number is 9 2/9