94/12 multiplied by 127/3 in Fraction Form

The result of 94/12 multiplied by 127/3 is: 331 11/18

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{9}{4} 12$ and $\frac{1}{2} 73$ .

Step 2: Multiply the Numerators

Multiply the numerators: 94 × 127 = 11938

Step 3: Multiply the Denominators

Multiply the denominators: 12 × 3 = 36

Step 4: Simplify the Fraction

We can simplify $\frac{1}{1} 93836$ to its lowest form.
The greatest common divisor (GCD) of 11938 and 36 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{5}{9} 6918$ .

Step 5: Convert to Mixed Number

The fraction $\frac{5}{9} 6918$ can be written as the mixed number $331 \frac{1}{1} 18$ .

Final Answer

The result of 94/12 multiplied by 127/3 is:

\frac{94}{12} \times \frac{127}{3} = 331 \frac{1}{1} 18

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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