Calculating Fractions: Simplifying 1/3 x 3/4 x 4/5
Fractions can be intimidating, especially when it comes to multiplying and simplifying them. In this article, we'll break down the step-by-step process of calculating 1/3 x 3/4 x 4/5 as a fraction.
Step 1: Multiply the Fractions
To start, let's multiply the given fractions:
1/3 × 3/4 = ?
Multiplying Fractions
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom). Then, we simplify the resulting fraction.
(1 × 3) / (3 × 4) = 3/12
We can simplify 3/12 by dividing both the numerator and denominator by their greatest common divisor, which is 3.
3 ÷ 3 = 1 12 ÷ 3 = 4
So, 1/3 × 3/4 = 1/4
Step 2: Multiply Again
Now, let's multiply the result with the next fraction:
1/4 × 4/5 = ?
Multiplying Fractions (Again!)
Using the same multiplication rule:
(1 × 4) / (4 × 5) = 4/20
We can simplify 4/20 by dividing both the numerator and denominator by their greatest common divisor, which is 4.
4 ÷ 4 = 1 20 ÷ 4 = 5
So, 1/4 × 4/5 = 1/5
Final Answer
Therefore, the result of 1/3 x 3/4 x 4/5 as a fraction is:
1/5
In conclusion, we've successfully simplified the given fraction by breaking it down step-by-step and applying the rules of fraction multiplication.
