22/21 multiplied by 33/4 in Fraction Form

The result of 22/21 multiplied by 33/4 is: 8 9/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{2} 21$ and $\frac{3}{3} 4$ .

Step 2: Multiply the Numerators

Multiply the numerators: 22 × 33 = 726

Step 3: Multiply the Denominators

Multiply the denominators: 21 × 4 = 84

Step 4: Simplify the Fraction

We can simplify $\frac{7}{2} 684$ to its lowest form.
The greatest common divisor (GCD) of 726 and 84 is 6.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{2} 114$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{2} 114$ can be written as the mixed number $8 \frac{9}{1} 4$ .

Final Answer

The result of 22/21 multiplied by 33/4 is:

\frac{22}{21} \times \frac{33}{4} = 8 \frac{9}{1} 4

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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