22/76 multiplied by 213/3 in Fraction Form

The result of 22/76 multiplied by 213/3 is: 20 21/38

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{2} 76$ and $\frac{2}{1} 33$ .

Step 2: Multiply the Numerators

Multiply the numerators: 22 × 213 = 4686

Step 3: Multiply the Denominators

Multiply the denominators: 76 × 3 = 228

Step 4: Simplify the Fraction

We can simplify $\frac{4}{6} 86228$ to its lowest form.
The greatest common divisor (GCD) of 4686 and 228 is 6.
Dividing both numerator and denominator by the GCD, we get $\frac{7}{8} 138$ .

Step 5: Convert to Mixed Number

The fraction $\frac{7}{8} 138$ can be written as the mixed number $20 \frac{2}{1} 38$ .

Final Answer

The result of 22/76 multiplied by 213/3 is:

\frac{22}{76} \times \frac{213}{3} = 20 \frac{2}{1} 38

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: