42/4 divided by 2/3 in Fraction Form

The result of 42/4 divided by 2/3 is: 15 3/4

Step-by-Step Solution

Step 1: Understand the Problem

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

Step 2: Use the Division Rule

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

Step 3: Multiply the Fractions

Multiply the numerators: 42 × 3 = 126
Multiply the denominators: 4 × 2 = 8

Step 4: Simplify the Fraction

We can simplify $\frac{1}{2} 68$ to its lowest form.
The greatest common divisor (GCD) of 126 and 8 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{6}{3} 4$ .

Step 5: Convert to Mixed Number

The fraction $\frac{6}{3} 4$ can be written as the mixed number $15 \frac{3}{4}$ .

Final Answer

The result of 42/4 divided by 2/3 is:

\frac{42}{4} \div \frac{2}{3} = 15 \frac{3}{4}

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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