20/44 multiplied by 82/3 in Fraction Form

The result of 20/44 multiplied by 82/3 is: 12 14/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 2044 and 823.

Step 2: Multiply the Numerators

Multiply the numerators: 20 × 82 = 1640

Step 3: Multiply the Denominators

Multiply the denominators: 44 × 3 = 132

Step 4: Simplify the Fraction

We can simplify 1640132 to its lowest form.
The greatest common divisor (GCD) of 1640 and 132 is 4.
Dividing both numerator and denominator by the GCD, we get 41033.

Step 5: Convert to Mixed Number

The fraction 41033 can be written as the mixed number 121433.

Final Answer

The result of 20/44 multiplied by 82/3 is:

2044×823=121433

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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