213/26 multiplied by 40/3 in Fraction Form

The result of 213/26 multiplied by 40/3 is: 109 3/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{1} 326$ and $\frac{4}{0} 3$ .

Step 2: Multiply the Numerators

Multiply the numerators: 213 × 40 = 8520

Step 3: Multiply the Denominators

Multiply the denominators: 26 × 3 = 78

Step 4: Simplify the Fraction

We can simplify $\frac{8}{5} 2078$ to its lowest form.
The greatest common divisor (GCD) of 8520 and 78 is 6.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{4} 2013$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{4} 2013$ can be written as the mixed number $109 \frac{3}{1} 3$ .

Final Answer

The result of 213/26 multiplied by 40/3 is:

\frac{213}{26} \times \frac{40}{3} = 109 \frac{3}{1} 3

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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