135/81 multiplied by 100/3 in Fraction Form

The result of 135/81 multiplied by 100/3 is: 55 5/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 13581 and 1003.

Step 2: Multiply the Numerators

Multiply the numerators: 135 × 100 = 13500

Step 3: Multiply the Denominators

Multiply the denominators: 81 × 3 = 243

Step 4: Simplify the Fraction

We can simplify 13500243 to its lowest form.
The greatest common divisor (GCD) of 13500 and 243 is 27.
Dividing both numerator and denominator by the GCD, we get 5009.

Step 5: Convert to Mixed Number

The fraction 5009 can be written as the mixed number 5559.

Final Answer

The result of 135/81 multiplied by 100/3 is:

13581×1003=5559

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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