5/11 multiplied by 81/3 in Fraction Form

The result of 5/11 multiplied by 81/3 is: 12 3/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 511 and 813.

Step 2: Multiply the Numerators

Multiply the numerators: 5 × 81 = 405

Step 3: Multiply the Denominators

Multiply the denominators: 11 × 3 = 33

Step 4: Simplify the Fraction

We can simplify 40533 to its lowest form.
The greatest common divisor (GCD) of 405 and 33 is 3.
Dividing both numerator and denominator by the GCD, we get 13511.

Step 5: Convert to Mixed Number

The fraction 13511 can be written as the mixed number 12311.

Final Answer

The result of 5/11 multiplied by 81/3 is:

511×813=12311

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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