Simplifying Fractions: 1/15 x 3/5 as a Fraction
When multiplying fractions, it's essential to follow the rules of fraction multiplication. In this article, we'll explore the result of multiplying 1/15 and 3/5, and simplify the resulting fraction.
The Multiplication Process
To multiply two fractions, we need to multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom), like this:
(1/15) × (3/5) = (1 × 3)/(15 × 5)
Evaluating the Expression
Let's evaluate the expression:
(1 × 3) = 3
(15 × 5) = 75
So, the result of the multiplication is:
3/75
Simplifying the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of 3 and 75. The GCD is the largest number that divides both numbers without leaving a remainder.
The GCD of 3 and 75 is 3. We can divide both the numerator and the denominator by 3:
3 ÷ 3 = 1
75 ÷ 3 = 25
Therefore, the simplified fraction is:
1/25
In conclusion, the result of multiplying 1/15 and 3/5 is 1/25.
