Fractions: Simplifying 1/13 x 3/51
Introduction
In this article, we will explore how to simplify the fraction 1/13 multiplied by 3/51. This is a great opportunity to review the basics of fraction operations and learn how to simplify complex fractions.
The Problem
The problem at hand is to simplify the following fraction:
1/13 × 3/51
Step 1: Multiply the Fractions
To multiply fractions, we need to multiply the numerators (the numbers on top) and multiply the denominators (the numbers at the bottom).
Numerator: 1 × 3 = 3
Denominator: 13 × 51 = 663
So, the result of the multiplication is:
3/663
Step 2: Simplify the Fraction
Now that we have the result, let's see if we can simplify the fraction further.
To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator.
In this case, the GCD of 3 and 663 is 3.
Simplified Fraction: 1/221
And that's it! We have successfully simplified the fraction 1/13 × 3/51 to 1/221.
Conclusion
In this article, we demonstrated how to simplify the fraction 1/13 × 3/51. We multiplied the numerators and denominators, and then simplified the resulting fraction by finding the greatest common divisor. The final simplified fraction is 1/221.
