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

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Popular >

9/(7/9)

Solution

9/ (7/9)

Solution

11 \frac{4}{7}

Solution steps

9/ (7/9)

Follow the PEMDAS order of operations

Calculate within parentheses

(7/9) : \frac{7}{9}

7/9

7/9 = \frac{7}{9}

= \frac{7}{9}

= 9/ \frac{7}{9}

Multiply and divide (left to right)

9/ \frac{7}{9} : \frac{81}{7}

9/ \frac{7}{9}

Convert element to fraction:

9 = \frac{9}{1}

= \frac{9}{1} \div \frac{7}{9}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{9}{1} \cdot \frac{9}{7}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{9 \cdot 9}{1 \cdot 7}

Multiply the numbers:

9 \cdot 9 = 81

= \frac{81}{1 \cdot 7}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{81}{7}

= \frac{81}{7}

Convert improper fractions to mixed numbers:

\frac{81}{7} = 11 \frac{4}{7}

\frac{81}{7} = 11

Remainder

4

\frac{81}{7}

Write the problem in long division format

7 \overline{∣ 81}

Divide

8

7

to get

1

Divide

8

7

to get

1

1 7 \overline{∣ 81}

Multiply the quotient digit

(1)

by the divisor

7

1 7 \overline{∣ 81} \underline{7}

Subtract

7

from

8

1 7 \overline{∣ 81} \underline{7} 1

Bring down the next number of the dividend

1 7 \overline{∣ 81} \underline{7} 11

1 7 \overline{∣ 81} \underline{7} 11

Divide

11

7

to get

1

Divide

11

7

to get

1

11 7 \overline{∣ 81} \underline{7} 11

Multiply the quotient digit

(1)

by the divisor

7

11 7 \overline{∣ 81} \underline{7} 11 \underline{7}

Subtract

7

from

11

11 7 \overline{∣ 81} \underline{7} 11 \underline{7} 4

11 7 \overline{∣ 81} \underline{7} 11 \underline{7} 4

The solution for Long Division of

\frac{81}{7}

11

with remainder of

4

11 Remainder 4

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{81}{7} = 11 \frac{4}{7}

= 11 \frac{4}{7}

= 11 \frac{4}{7}

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Write the Fraction in Simplest Form 6÷(7/6)

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Frequently Asked Questions (FAQ)

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

9/(7/9)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 9/(7/9) ?