Simplifying Fractions: 5/16 x 4/15 x 3/14
When dealing with fractions, it's essential to understand how to multiply and simplify them. In this article, we'll explore the multiplication of three fractions: 5/16, 4/15, and 3/14.
Step 1: Multiply the Fractions
To multiply these fractions, we need to follow the rule:
(a/b) × (c/d) = (ac)/(bd)
In our case, we have:
(5/16) × (4/15) × (3/14)
First, let's multiply the numerators (the numbers on top):
5 × 4 × 3 = 60
Next, let's multiply the denominators (the numbers on the bottom):
16 × 15 × 14 = 3360
Now, we can write the result as a fraction:
60/3360
Step 2: Simplify the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator.
The GCD of 60 and 3360 is 60. Therefore, we can divide both numbers by 60:
60 ÷ 60 = 1 3360 ÷ 60 = 56
The simplified fraction is:
1/56
Conclusion
The result of multiplying 5/16, 4/15, and 3/14 is 1/56. Remember to always follow the rules of fraction multiplication and simplify your answers to get the most accurate result.
