97/9 as a decimal and mixed number expansion provides the detailed information about what is 97/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
97/9 as a Decimal Expansion
97/9 = 10.7778
Hence,
97/9 as a decimal equals to 10.7778
where,
97/9 is a given fraction,
The decimal expansion of 97/9 is 10.7778
97/9 as a Mixed Number
97/9 = (90 + 7)/9
= 90/9 + 7/9
= 10 + 7/9
= 10 7/9
97/9 = 10 7/9
Hence,
97/9 as a mixed number is 10 7/9
where,
97/9 is a given fraction,
10 7/9 is the mixed number representation of 97/9.
The below work with steps provide the detailed information about how to convert fraction 97/9 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 97/9
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 97/9.
step 2 The numerator is greater than the denominator of the fraction 97/9, so write the given fraction in the expression form in terms of denominator as like the below:
= 97/9
= 90 + 7/9
= (10 x 9) + 7/9
step 3 Make the above expression as individual fractions:
= (10 x 9)/9 + 7/9
step 4 Simplify the above expression:
= 10 x 9/9 + 7/9
= 10 + 7/9
10 + 7/9 can be written as a mixed number 10 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.
= 10 + (7/9 x 10/10)
step 6 Simplify the above expression further:
= 10 + (70/9 x 1/10)
= 10 + (63 + 7/9 x 1/10)
= 10 + [(63/9 + 7/9 ) x 1/10]
= 10 + [(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:
= 10 + [(7 + 7/9) x 1/10]
= 10 + [(7 + 0.78) x 1/10]
= 10 + (7.78 x 1/10)
= 10 + 7.78/10
= 10 + 0.778
step 8 Find the sum of above expression:
= 10 + 0.778
= 10.778
97/9 = 10.778
Hence,
97/9 as a decimal is 10.778
97/9 as a mixed number is 10 7/9