8/5 divided by 7/6 in Fraction Form

The result of 8/5 divided by 7/6 is: 1 13/35

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction $\frac{8}{5}$ by $\frac{7}{6}$ .

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
$\frac{8}{5} \div \frac{7}{6} = \frac{8}{5} \times \frac{6}{7}$

Step 3: Multiply the Fractions

Multiply the numerators: 8 × 6 = 48
Multiply the denominators: 5 × 7 = 35

Step 4: Convert to Mixed Number

The fraction $\frac{4}{8} 35$ can be written as the mixed number $1 \frac{1}{3} 35$ .

Final Answer

The result of 8/5 divided by 7/6 is:

\frac{8}{5} \div \frac{7}{6} = 1 \frac{1}{3} 35

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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