Simplifying Fractions: 1/5 x 4/5 x 10/3 as a Fraction
When working with fractions, it's essential to understand how to multiply and simplify them. In this article, we'll explore how to simplify the fraction 1/5 x 4/5 x 10/3 as a single fraction.
Step 1: Multiply the Fractions
To multiply fractions, we need to multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), like this:
(1/5) × (4/5) = (1 × 4)/(5 × 5) = 4/25
Next, we'll multiply the result by 10/3:
(4/25) × (10/3) = (4 × 10)/(25 × 3) = 40/75
Step 2: Simplify the Fraction
Now, let's simplify the fraction 40/75. We can do this by finding the greatest common divisor (GCD) of 40 and 75, which is 5. Divide both the numerator and the denominator by 5:
40 ÷ 5 = 8 75 ÷ 5 = 15
So, the simplified fraction is:
8/15
Conclusion
By multiplying and simplifying the fractions, we get:
1/5 x 4/5 x 10/3 = 8/15
Remember to always check your work and ensure that your final answer is in its simplest form.
