Fractions in Math: Understanding 1/3 × 6/7
In mathematics, fractions are an essential concept that represents a part of a whole. In this article, we will explore the calculation of 1/3 × 6/7 and understand the step-by-step process to arrive at the solution.
What is a Fraction?
A fraction is a way to express a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). The numerator represents the number of equal parts, and the denominator represents the total number of parts.
The Problem: 1/3 × 6/7
To calculate the product of 1/3 and 6/7, we need to follow the rules of multiplying fractions.
Step 1: Multiply the Numerators
Multiply the numerators (the numbers on top): 1 × 6 = 6
Step 2: Multiply the Denominators
Multiply the denominators (the numbers on the bottom): 3 × 7 = 21
Step 3: Write the Product as a Fraction
Now, write the product as a fraction: 6/21
Simplifying the Fraction
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD is 3.
6 ÷ 3 = 2 21 ÷ 3 = 7
So, the simplified fraction is: 2/7
Conclusion
In conclusion, the product of 1/3 and 6/7 is equal to 2/7. Understanding fractions and how to perform arithmetic operations with them is crucial in mathematics. By following the steps outlined above, you can easily calculate the product of fractions and simplify the result.
