11/142 multiplied by 99/3 in Fraction Form

The result of 11/142 multiplied by 99/3 is: 2 79/142

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 11142 and 993.

Step 2: Multiply the Numerators

Multiply the numerators: 11 × 99 = 1089

Step 3: Multiply the Denominators

Multiply the denominators: 142 × 3 = 426

Step 4: Simplify the Fraction

We can simplify 1089426 to its lowest form.
The greatest common divisor (GCD) of 1089 and 426 is 3.
Dividing both numerator and denominator by the GCD, we get 363142.

Step 5: Convert to Mixed Number

The fraction 363142 can be written as the mixed number 279142.

Final Answer

The result of 11/142 multiplied by 99/3 is:

11142×993=279142

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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