20/118 multiplied by 109/4 in Fraction Form

The result of 20/118 multiplied by 109/4 is: 4 73/118

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{0} 118$ and $\frac{1}{0} 94$ .

Step 2: Multiply the Numerators

Multiply the numerators: 20 × 109 = 2180

Step 3: Multiply the Denominators

Multiply the denominators: 118 × 4 = 472

Step 4: Simplify the Fraction

We can simplify $\frac{2}{1} 80472$ to its lowest form.
The greatest common divisor (GCD) of 2180 and 472 is 4.
Dividing both numerator and denominator by the GCD, we get $\frac{5}{4} 5118$ .

Step 5: Convert to Mixed Number

The fraction $\frac{5}{4} 5118$ can be written as the mixed number $4 \frac{7}{3} 118$ .

Final Answer

The result of 20/118 multiplied by 109/4 is:

\frac{20}{118} \times \frac{109}{4} = 4 \frac{7}{3} 118

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).

Fraction Calculator

Calculate operations between any two fractions: