26/10 divided by 4/6 in Fraction Form

The result of 26/10 divided by 4/6 is: 3 9/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction $\frac{2}{6} 10$ by $\frac{4}{6}$ .

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
$\frac{2}{6} 10 \div \frac{4}{6} = \frac{2}{6} 10 \times \frac{6}{4}$

Step 3: Multiply the Fractions

Multiply the numerators: 26 × 6 = 156
Multiply the denominators: 10 × 4 = 40

Step 4: Simplify the Fraction

We can simplify $\frac{1}{5} 640$ to its lowest form.
The greatest common divisor (GCD) of 156 and 40 is 4.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{9} 10$ .

Step 5: Convert to Mixed Number

The fraction $\frac{3}{9} 10$ can be written as the mixed number $3 \frac{9}{1} 0$ .

Final Answer

The result of 26/10 divided by 4/6 is:

\frac{26}{10} \div \frac{4}{6} = 3 \frac{9}{1} 0

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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