18/185 multiplied by 101/2 in Fraction Form

The result of 18/185 multiplied by 101/2 is: 4 169/185

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 18185 and 1012.

Step 2: Multiply the Numerators

Multiply the numerators: 18 × 101 = 1818

Step 3: Multiply the Denominators

Multiply the denominators: 185 × 2 = 370

Step 4: Simplify the Fraction

We can simplify 1818370 to its lowest form.
The greatest common divisor (GCD) of 1818 and 370 is 2.
Dividing both numerator and denominator by the GCD, we get 909185.

Step 5: Convert to Mixed Number

The fraction 909185 can be written as the mixed number 4169185.

Final Answer

The result of 18/185 multiplied by 101/2 is:

18185×1012=4169185

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

ab×cd=a×cb×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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