82/99 multiplied by 139/4 in Fraction Form

The result of 82/99 multiplied by 139/4 is: 28 155/198

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 8299 and 1394.

Step 2: Multiply the Numerators

Multiply the numerators: 82 × 139 = 11398

Step 3: Multiply the Denominators

Multiply the denominators: 99 × 4 = 396

Step 4: Simplify the Fraction

We can simplify 11398396 to its lowest form.
The greatest common divisor (GCD) of 11398 and 396 is 2.
Dividing both numerator and denominator by the GCD, we get 5699198.

Step 5: Convert to Mixed Number

The fraction 5699198 can be written as the mixed number 28155198.

Final Answer

The result of 82/99 multiplied by 139/4 is:

8299×1394=28155198

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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