The solution to 9/(7/6) is 7 5/7

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Simplify 9÷(7/6)

Solution

9/ (7/6)

Solution

7 \frac{5}{7}

Solution steps

9/ (7/6)

Follow the PEMDAS order of operations

Calculate within parentheses

(7/6) : \frac{7}{6}

7/6

7/6 = \frac{7}{6}

= \frac{7}{6}

= 9/ \frac{7}{6}

Multiply and divide (left to right)

9/ \frac{7}{6} : \frac{54}{7}

9/ \frac{7}{6}

Convert element to fraction:

9 = \frac{9}{1}

= \frac{9}{1} \div \frac{7}{6}

Apply the fraction rule:

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

= \frac{9}{1} \cdot \frac{6}{7}

Multiply fractions:

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

= \frac{9 \cdot 6}{1 \cdot 7}

Multiply the numbers:

9 \cdot 6 = 54

= \frac{54}{1 \cdot 7}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{54}{7}

= \frac{54}{7}

Convert improper fractions to mixed numbers:

\frac{54}{7} = 7 \frac{5}{7}

\frac{54}{7} = 7

Remainder

5

\frac{54}{7}

Write the problem in long division format

7 \overline{∣ 54}

Divide

54

7

to get

7

Divide

54

7

to get

7

7 7 \overline{∣ 54}

Multiply the quotient digit

(7)

by the divisor

7

7 7 \overline{∣ 54} \underline{49}

Subtract

49

from

54

7 7 \overline{∣ 54} \underline{49} 5

7 7 \overline{∣ 54} \underline{49} 5

The solution for Long Division of

\frac{54}{7}

7

with remainder of

5

7 Remainder 5

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{54}{7} = 7 \frac{5}{7}

= 7 \frac{5}{7}

= 7 \frac{5}{7}

Popular Examples

Convert to a Mixed Number 4/9 mixed number

\frac{4}{9}

Reduce the Fraction 32/60 reduce fraction

t h e \frac{32}{60}

Find the GCF 21x^2 gcf

21 x^{2}

Find the Possible Factors 40 positive factors of

40

Divide Using Long Division 5/4 long division

\frac{5}{4}

Frequently Asked Questions (FAQ)

What is 9/(7/6) ?
The solution to 9/(7/6) is 7 5/7

Simplify 9÷(7/6)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 9/(7/6) ?