3/2 divided by 2/3 in Fraction Form

The result of 3/2 divided by 2/3 is: 2 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction \(\frac32\) by \(\frac23\).

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac32 \div \frac23 = \frac32 \times \frac32\)

Step 3: Multiply the Fractions

Multiply the numerators: 3 × 3 = 9
Multiply the denominators: 2 × 2 = 4

Step 4: Convert to Mixed Number

The fraction \(\frac94\) can be written as the mixed number \(2\frac14\).

Final Answer

The result of 3/2 divided by 2/3 is:

\[ \frac{3}{2} \div \frac{2}{3} = 2\frac14 \]

Understanding Fraction Division

How to Divide Fractions

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

\( \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc} \)

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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