11/99 multiplied by 213/4 in Fraction Form

The result of 11/99 multiplied by 213/4 is: 5 11/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 1199 and 2134.

Step 2: Multiply the Numerators

Multiply the numerators: 11 × 213 = 2343

Step 3: Multiply the Denominators

Multiply the denominators: 99 × 4 = 396

Step 4: Simplify the Fraction

We can simplify 2343396 to its lowest form.
The greatest common divisor (GCD) of 2343 and 396 is 33.
Dividing both numerator and denominator by the GCD, we get 7112.

Step 5: Convert to Mixed Number

The fraction 7112 can be written as the mixed number 51112.

Final Answer

The result of 11/99 multiplied by 213/4 is:

1199×2134=51112

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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