5/7 divided by 1/6 in Fraction Form

The result of 5/7 divided by 1/6 is: 4 2/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction $\frac{5}{7}$ by $\frac{1}{6}$ .

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
$\frac{5}{7} \div \frac{1}{6} = \frac{5}{7} \times \frac{6}{1}$

Step 3: Multiply the Fractions

Multiply the numerators: 5 × 6 = 30
Multiply the denominators: 7 × 1 = 7

Step 4: Convert to Mixed Number

The fraction $\frac{3}{0} 7$ can be written as the mixed number $4 \frac{2}{7}$ .

Final Answer

The result of 5/7 divided by 1/6 is:

\frac{5}{7} \div \frac{1}{6} = 4 \frac{2}{7}

Understanding Fraction Division

How to Divide Fractions

To divide fractions, you multiply by the reciprocal of the divisor:

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

This technique is often remembered as "keep, change, flip" - keep the first fraction, change division to multiplication, and flip the second fraction.

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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