10/23 divided by 18/3 in Fraction Form

The result of 10/23 divided by 18/3 is: 5/69

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction $\frac{1}{0} 23$ by $\frac{1}{8} 3$ .

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
$\frac{1}{0} 23 \div \frac{1}{8} 3 = \frac{1}{0} 23 \times \frac{3}{1} 8$

Step 3: Multiply the Fractions

Multiply the numerators: 10 × 3 = 30
Multiply the denominators: 23 × 18 = 414

Step 4: Simplify the Fraction

We can simplify $\frac{3}{0} 414$ to its lowest form.
The greatest common divisor (GCD) of 30 and 414 is 6.
Dividing both numerator and denominator by the GCD, we get $\frac{5}{6} 9$ .

Final Answer

The result of 10/23 divided by 18/3 is:

\frac{10}{23} \div \frac{18}{3} = \frac{5}{6} 9

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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