233/26 multiplied by 34/3 in Fraction Form

The result of 233/26 multiplied by 34/3 is: 101 22/39

Step-by-Step Solution

Step 1: Understand the Problem

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

Step 2: Multiply the Numerators

Multiply the numerators: 233 × 34 = 7922

Step 3: Multiply the Denominators

Multiply the denominators: 26 × 3 = 78

Step 4: Simplify the Fraction

We can simplify $\frac{7}{9} 2278$ to its lowest form.
The greatest common divisor (GCD) of 7922 and 78 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{9} 6139$ .

Step 5: Convert to Mixed Number

The fraction $\frac{3}{9} 6139$ can be written as the mixed number $101 \frac{2}{2} 39$ .

Final Answer

The result of 233/26 multiplied by 34/3 is:

\frac{233}{26} \times \frac{34}{3} = 101 \frac{2}{2} 39

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: