15/2 multiplied by 223/3 in Fraction Form

The result of 15/2 multiplied by 223/3 is: 557 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{5} 2$ and $\frac{2}{2} 33$ .

Step 2: Multiply the Numerators

Multiply the numerators: 15 × 223 = 3345

Step 3: Multiply the Denominators

Multiply the denominators: 2 × 3 = 6

Step 4: Simplify the Fraction

We can simplify $\frac{3}{3} 456$ to its lowest form.
The greatest common divisor (GCD) of 3345 and 6 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{1} 152$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{1} 152$ can be written as the mixed number $557 \frac{1}{2}$ .

Final Answer

The result of 15/2 multiplied by 223/3 is:

\frac{15}{2} \times \frac{223}{3} = 557 \frac{1}{2}

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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