17/69 multiplied by 213/2 in Fraction Form

The result of 17/69 multiplied by 213/2 is: 26 11/46

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 1769 and 2132.

Step 2: Multiply the Numerators

Multiply the numerators: 17 × 213 = 3621

Step 3: Multiply the Denominators

Multiply the denominators: 69 × 2 = 138

Step 4: Simplify the Fraction

We can simplify 3621138 to its lowest form.
The greatest common divisor (GCD) of 3621 and 138 is 3.
Dividing both numerator and denominator by the GCD, we get 120746.

Step 5: Convert to Mixed Number

The fraction 120746 can be written as the mixed number 261146.

Final Answer

The result of 17/69 multiplied by 213/2 is:

1769×2132=261146

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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