49/148 multiplied by 127/2 in Fraction Form

The result of 49/148 multiplied by 127/2 is: 21 7/296

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{4}{9} 148$ and $\frac{1}{2} 72$ .

Step 2: Multiply the Numerators

Multiply the numerators: 49 × 127 = 6223

Step 3: Multiply the Denominators

Multiply the denominators: 148 × 2 = 296

Step 4: Convert to Mixed Number

The fraction $\frac{6}{2} 23296$ can be written as the mixed number $21 \frac{7}{2} 96$ .

Final Answer

The result of 49/148 multiplied by 127/2 is:

\frac{49}{148} \times \frac{127}{2} = 21 \frac{7}{2} 96

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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