76/9 as a Decimal and Mixed Number
76/9 as a decimal and mixed number expansion provides the detailed information about what is 76/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
76/9 as a Decimal Expansion
76/9 = 8.4444
Hence,
76/9 as a decimal equals to 8.4444
where,
76/9 is a given fraction,
The decimal expansion of 76/9 is 8.4444
76/9 as a Mixed Number
76/9 = (72 + 4)/9
= 72/9 + 4/9
= 8 + 4/9
= 8 4/9
76/9 = 8 4/9
Hence,
76/9 as a mixed number is 8 4/9
where,
76/9 is a given fraction,
8 4/9 is the mixed number representation of 76/9.
How-to: 76/9 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 76/9 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 76/9
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 76/9.
step 2 The numerator is greater than the denominator of the fraction 76/9, so write the given fraction in the expression form in terms of denominator as like the below:
= 76/9
= 72 + 4/9
= (8 x 9) + 4/9
step 3 Make the above expression as individual fractions:
= (8 x 9)/9 + 4/9
step 4 Simplify the above expression:
= 8 x 9/9 + 4/9
= 8 + 4/9
8 + 4/9 can be written as a mixed number 8 4/9.
step 5 Find the decimal equivalent for the fractional part 4/9 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 4/9. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 4/9.
= 8 + (4/9 x 10/10)
step 6 Simplify the above expression further:
= 8 + (40/9 x 1/10)
= 8 + (36 + 4/9 x 1/10)
= 8 + [(36/9 + 4/9 ) x 1/10]
= 8 + [(4 + 4/9) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/9 in the above expression:
= 8 + [(4 + 4/9) x 1/10]
= 8 + [(4 + 0.44) x 1/10]
= 8 + (4.44 x 1/10)
= 8 + 4.44/10
= 8 + 0.444
step 8 Find the sum of above expression:
= 8 + 0.444
= 8.444
76/9 = 8.444
Hence,
76/9 as a decimal is 8.444
76/9 as a mixed number is 8 4/9
