21/4 divided by 23/2 in Fraction Form

The result of 21/4 divided by 23/2 is: 21/46

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction $\frac{2}{1} 4$ by $\frac{2}{3} 2$ .

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
$\frac{2}{1} 4 \div \frac{2}{3} 2 = \frac{2}{1} 4 \times \frac{2}{2} 3$

Step 3: Multiply the Fractions

Multiply the numerators: 21 × 2 = 42
Multiply the denominators: 4 × 23 = 92

Step 4: Simplify the Fraction

We can simplify $\frac{4}{2} 92$ to its lowest form.
The greatest common divisor (GCD) of 42 and 92 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{1} 46$ .

Final Answer

The result of 21/4 divided by 23/2 is:

\frac{21}{4} \div \frac{23}{2} = \frac{2}{1} 46

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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