39/4 divided by 26/6 in Fraction Form

The result of 39/4 divided by 26/6 is: 2 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction $\frac{3}{9} 4$ by $\frac{2}{6} 6$ .

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
$\frac{3}{9} 4 \div \frac{2}{6} 6 = \frac{3}{9} 4 \times \frac{6}{2} 6$

Step 3: Multiply the Fractions

Multiply the numerators: 39 × 6 = 234
Multiply the denominators: 4 × 26 = 104

Step 4: Simplify the Fraction

We can simplify $\frac{2}{3} 4104$ to its lowest form.
The greatest common divisor (GCD) of 234 and 104 is 26.
Dividing both numerator and denominator by the GCD, we get $\frac{9}{4}$ .

Step 5: Convert to Mixed Number

The fraction $\frac{9}{4}$ can be written as the mixed number $2 \frac{1}{4}$ .

Final Answer

The result of 39/4 divided by 26/6 is:

\frac{39}{4} \div \frac{26}{6} = 2 \frac{1}{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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