The solution to 6/(7/6) is 5 1/7

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

Solution

6/ (7/6)

Solution

5 \frac{1}{7}

Solution steps

6/ (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}

= 6/ \frac{7}{6}

Multiply and divide (left to right)

6/ \frac{7}{6} : \frac{36}{7}

6/ \frac{7}{6}

Convert element to fraction:

6 = \frac{6}{1}

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

Apply the fraction rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

6 \cdot 6 = 36

= \frac{36}{1 \cdot 7}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{36}{7}

= \frac{36}{7}

Convert improper fractions to mixed numbers:

\frac{36}{7} = 5 \frac{1}{7}

\frac{36}{7} = 5

Remainder

1

\frac{36}{7}

Write the problem in long division format

7 \overline{∣ 36}

Divide

36

7

to get

5

Divide

36

7

to get

5

5 7 \overline{∣ 36}

Multiply the quotient digit

(5)

by the divisor

7

5 7 \overline{∣ 36} \underline{35}

Subtract

35

from

36

5 7 \overline{∣ 36} \underline{35} 1

5 7 \overline{∣ 36} \underline{35} 1

The solution for Long Division of

\frac{36}{7}

5

with remainder of

1

5 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{36}{7} = 5 \frac{1}{7}

= 5 \frac{1}{7}

= 5 \frac{1}{7}

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171

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2 \frac{1}{4} \cdot 1/2

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105 - 75

0.25÷5 long division

\frac{0.25}{5}

Frequently Asked Questions (FAQ)

What is 6/(7/6) ?
The solution to 6/(7/6) is 5 1/7

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

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 6/(7/6) ?