Simplifying the Fraction: 5/15 x 4/14 x 3/13
In this article, we will explore the simplification of the fraction 5/15 x 4/14 x 3/13. This complex fraction can be simplified by applying the rules of fraction multiplication and division.
Step 1: Multiply the Numerators
To start, we need to multiply the numerators (the numbers on top) of each fraction:
5 × 4 × 3 = 60
Step 2: Multiply the Denominators
Next, we need to multiply the denominators (the numbers on the bottom) of each fraction:
15 × 14 × 13 = 2730
Step 3: Write the Product as a Fraction
Now, we can write the product of the numerators and denominators as a fraction:
60/2730
Step 4: Simplify the Fraction
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 60 and 2730 is 30. Therefore, we can divide both numbers by 30:
60 ÷ 30 = 2 2730 ÷ 30 = 91
Final Answer
The simplified fraction is:
2/91
In conclusion, the simplification of the fraction 5/15 x 4/14 x 3/13 results in the fraction 2/91.
