69/17 multiplied by 159/3 in Fraction Form

The result of 69/17 multiplied by 159/3 is: 215 2/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 6917 and 1593.

Step 2: Multiply the Numerators

Multiply the numerators: 69 × 159 = 10971

Step 3: Multiply the Denominators

Multiply the denominators: 17 × 3 = 51

Step 4: Simplify the Fraction

We can simplify 1097151 to its lowest form.
The greatest common divisor (GCD) of 10971 and 51 is 3.
Dividing both numerator and denominator by the GCD, we get 365717.

Step 5: Convert to Mixed Number

The fraction 365717 can be written as the mixed number 215217.

Final Answer

The result of 69/17 multiplied by 159/3 is:

6917×1593=215217

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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