14/23 multiplied by 213/2 in Fraction Form

The result of 14/23 multiplied by 213/2 is: 64 19/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 1423 and 2132.

Step 2: Multiply the Numerators

Multiply the numerators: 14 × 213 = 2982

Step 3: Multiply the Denominators

Multiply the denominators: 23 × 2 = 46

Step 4: Simplify the Fraction

We can simplify 298246 to its lowest form.
The greatest common divisor (GCD) of 2982 and 46 is 2.
Dividing both numerator and denominator by the GCD, we get 149123.

Step 5: Convert to Mixed Number

The fraction 149123 can be written as the mixed number 641923.

Final Answer

The result of 14/23 multiplied by 213/2 is:

1423×2132=641923

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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