49/22 multiplied by 5/2 in Fraction Form

The result of 49/22 multiplied by 5/2 is: 5 25/44

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{4}{9} 22$ and $\frac{5}{2}$ .

Step 2: Multiply the Numerators

Multiply the numerators: 49 × 5 = 245

Step 3: Multiply the Denominators

Multiply the denominators: 22 × 2 = 44

Step 4: Convert to Mixed Number

The fraction $\frac{2}{4} 544$ can be written as the mixed number $5 \frac{2}{5} 44$ .

Final Answer

The result of 49/22 multiplied by 5/2 is:

\frac{49}{22} \times \frac{5}{2} = 5 \frac{2}{5} 44

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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