18/102 multiplied by 194/3 in Fraction Form

The result of 18/102 multiplied by 194/3 is: 11 7/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{8} 102$ and $\frac{1}{9} 43$ .

Step 2: Multiply the Numerators

Multiply the numerators: 18 × 194 = 3492

Step 3: Multiply the Denominators

Multiply the denominators: 102 × 3 = 306

Step 4: Simplify the Fraction

We can simplify $\frac{3}{4} 92306$ to its lowest form.
The greatest common divisor (GCD) of 3492 and 306 is 18.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{9} 417$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{9} 417$ can be written as the mixed number $11 \frac{7}{1} 7$ .

Final Answer

The result of 18/102 multiplied by 194/3 is:

\frac{18}{102} \times \frac{194}{3} = 11 \frac{7}{1} 7

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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