13/69 multiplied by 213/2 in Fraction Form

The result of 13/69 multiplied by 213/2 is: 20 3/46

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 1369 and 2132.

Step 2: Multiply the Numerators

Multiply the numerators: 13 × 213 = 2769

Step 3: Multiply the Denominators

Multiply the denominators: 69 × 2 = 138

Step 4: Simplify the Fraction

We can simplify 2769138 to its lowest form.
The greatest common divisor (GCD) of 2769 and 138 is 3.
Dividing both numerator and denominator by the GCD, we get 92346.

Step 5: Convert to Mixed Number

The fraction 92346 can be written as the mixed number 20346.

Final Answer

The result of 13/69 multiplied by 213/2 is:

1369×2132=20346

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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