Simplifying Fractions: Evaluating 3/7 x 2/6 x 1/5
In this article, we will explore how to simplify the product of three fractions: 3/7 x 2/6 x 1/5. We will break down the process step by step and evaluate the final result as a simplified fraction.
Step 1: Multiply the Numerators
To multiply fractions, we need to multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom). Let's start by multiplying the numerators:
3 x 2 x 1 = 6
Step 2: Multiply the Denominators
Now, let's multiply the denominators:
7 x 6 x 5 = 210
Step 3: Write the Product as a Fraction
Next, we can write the product as a fraction by placing the product of the numerators over the product of the denominators:
6/210
Step 4: Simplify the Fraction (If Possible)
To simplify the fraction, we can look for common factors between the numerator and the denominator. In this case, we can see that both 6 and 210 are divisible by 6:
6 ÷ 6 = 1 210 ÷ 6 = 35
So, we can simplify the fraction by canceling out the common factor:
1/35
Final Result
Therefore, the product of the three fractions 3/7 x 2/6 x 1/5 simplifies to:
1/35
In conclusion, we have successfully evaluated the product of three fractions and simplified the result to its most basic form.
