26/34 multiplied by 14/6 in Fraction Form

The result of 26/34 multiplied by 14/6 is: 1 40/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{6} 34$ and $\frac{1}{4} 6$ .

Step 2: Multiply the Numerators

Multiply the numerators: 26 × 14 = 364

Step 3: Multiply the Denominators

Multiply the denominators: 34 × 6 = 204

Step 4: Simplify the Fraction

We can simplify $\frac{3}{6} 4204$ to its lowest form.
The greatest common divisor (GCD) of 364 and 204 is 4.
Dividing both numerator and denominator by the GCD, we get $\frac{9}{1} 51$ .

Step 5: Convert to Mixed Number

The fraction $\frac{9}{1} 51$ can be written as the mixed number $1 \frac{4}{0} 51$ .

Final Answer

The result of 26/34 multiplied by 14/6 is:

\frac{26}{34} \times \frac{14}{6} = 1 \frac{4}{0} 51

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).

Fraction Calculator

Calculate operations between any two fractions: