26/15 multiplied by 36/6 in Fraction Form

The result of 26/15 multiplied by 36/6 is: 10 2/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{6} 15$ and $\frac{3}{6} 6$ .

Step 2: Multiply the Numerators

Multiply the numerators: 26 × 36 = 936

Step 3: Multiply the Denominators

Multiply the denominators: 15 × 6 = 90

Step 4: Simplify the Fraction

We can simplify $\frac{9}{3} 690$ to its lowest form.
The greatest common divisor (GCD) of 936 and 90 is 18.
Dividing both numerator and denominator by the GCD, we get $\frac{5}{2} 5$ .

Step 5: Convert to Mixed Number

The fraction $\frac{5}{2} 5$ can be written as the mixed number $10 \frac{2}{5}$ .

Final Answer

The result of 26/15 multiplied by 36/6 is:

\frac{26}{15} \times \frac{36}{6} = 10 \frac{2}{5}

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$

After multiplying, it's always good practice to simplify the fraction to its lowest form.

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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