12/213 multiplied by 49/2 in Fraction Form

The result of 12/213 multiplied by 49/2 is: 1 27/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 12213 and 492.

Step 2: Multiply the Numerators

Multiply the numerators: 12 × 49 = 588

Step 3: Multiply the Denominators

Multiply the denominators: 213 × 2 = 426

Step 4: Simplify the Fraction

We can simplify 588426 to its lowest form.
The greatest common divisor (GCD) of 588 and 426 is 6.
Dividing both numerator and denominator by the GCD, we get 9871.

Step 5: Convert to Mixed Number

The fraction 9871 can be written as the mixed number 12771.

Final Answer

The result of 12/213 multiplied by 49/2 is:

12213×492=12771

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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