19/8 divided by 8/3 in Fraction Form

The result of 19/8 divided by 8/3 is: 57/64

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction $\frac{1}{9} 8$ by $\frac{8}{3}$ .

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
$\frac{1}{9} 8 \div \frac{8}{3} = \frac{1}{9} 8 \times \frac{3}{8}$

Step 3: Multiply the Fractions

Multiply the numerators: 19 × 3 = 57
Multiply the denominators: 8 × 8 = 64

Final Answer

The result of 19/8 divided by 8/3 is:

\frac{19}{8} \div \frac{8}{3} = \frac{5}{7} 64

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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