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Popular Pre Algebra >

Evaluate 9/(7/9)

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Solution

9/(7/9)

Solution

1174​
+1
Decimal
11.57142…
Solution steps
9/(7/9)
Follow the PEMDAS order of operations
Calculate within parentheses (7/9):97​
7/9
7/9=97​=97​
=9/97​
Multiply and divide (left to right) 9/97​:781​
9/97​
Convert element to fraction: 9=19​=19​÷97​
Apply the fraction rule: ba​÷dc​=ba​×cd​=19​⋅79​
Multiply fractions: ba​⋅dc​=b⋅da⋅c​=1⋅79⋅9​
Multiply the numbers: 9⋅9=81=1⋅781​
Multiply the numbers: 1⋅7=7=781​
=781​
Convert improper fractions to mixed numbers:781​=1174​
781​=11Remainder4
781​
Write the problem in long division format7∣81​​
Divide 8by 7to get 1
Divide 8by 7to get 117∣81​​
Multiply the quotient digit (1)by the divisor 717∣81​7​​
Subtract 7from 817∣81​7​1​
Bring down the next number of the dividend17∣81​7​11​
17∣81​7​11​
Divide 11by 7to get 1
Divide 11by 7to get 1117∣81​7​11​
Multiply the quotient digit (1)by the divisor 7117∣81​7​117​​
Subtract 7from 11117∣81​7​117​4​
117∣81​7​117​4​
The solution for Long Division of 781​is 11with remainder of 411Remainder4
Convert to mixed number: QuotientDivisorRemainder​781​=1174​
=1174​
=1174​

Popular Examples

Convert to a Simplified Fraction 13.4Convert to a Mixed Number 19/8Convert to a Simplified Fraction 12.50Simplify 1 1/8÷(1/4)Write the Fraction in Simplest Form 6÷(7/6)

Frequently Asked Questions (FAQ)

  • What is 9/(7/9) ?

    The solution to 9/(7/9) is 11 4/7

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