67/184 multiplied by 69/2 in Fraction Form

The result of 67/184 multiplied by 69/2 is: 12 9/16

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 67184 and 692.

Step 2: Multiply the Numerators

Multiply the numerators: 67 × 69 = 4623

Step 3: Multiply the Denominators

Multiply the denominators: 184 × 2 = 368

Step 4: Simplify the Fraction

We can simplify 4623368 to its lowest form.
The greatest common divisor (GCD) of 4623 and 368 is 23.
Dividing both numerator and denominator by the GCD, we get 20116.

Step 5: Convert to Mixed Number

The fraction 20116 can be written as the mixed number 12916.

Final Answer

The result of 67/184 multiplied by 69/2 is:

67184×692=12916

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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