What is the simplified result of the equation 7/8×2/5?

What is the simplified result of the equation 7/8×2/5?

• A. 3/5
• B. 7/20
• C. 14/40
• D. 7/5

Answer: (B)

To find the simplified result of the equation \( \frac{7}{8} \times \frac{2}{5} \), you multiply the numerators together and the denominators together. Multiplying the numerators: 7 (from the first fraction) times 2 (from the second fraction) gives you 14. Then, multiplying the denominators: 8 (from the first fraction) times 5 (from the second fraction) gives you 40. This results in \( \frac{14}{40} \). Next, to simplify \( \frac{14}{40} \), you look for the greatest common divisor of 14 and 40, which is 2. Dividing both the numerator and the denominator by 2, you simplify \( \frac{14}{40} \) to \( \frac{7}{20} \). Thus, the correct answer is \( \frac{7}{20} \), as it is the simplest form of the product \( \frac{7}{8} \times \frac{2}{5} \). This understanding of multiplying fractions and simplifying them is fundamental in mathematics.

To find the simplified result of the equation ( \frac{7}{8} \times \frac{2}{5} ), you multiply the numerators together and the denominators together.

Multiplying the numerators:

7 (from the first fraction) times 2 (from the second fraction) gives you 14.

Then, multiplying the denominators:

8 (from the first fraction) times 5 (from the second fraction) gives you 40.

This results in ( \frac{14}{40} ).

Next, to simplify ( \frac{14}{40} ), you look for the greatest common divisor of 14 and 40, which is 2. Dividing both the numerator and the denominator by 2, you simplify ( \frac{14}{40} ) to ( \frac{7}{20} ).

Thus, the correct answer is ( \frac{7}{20} ), as it is the simplest form of the product ( \frac{7}{8} \times \frac{2}{5} ). This understanding of multiplying fractions and simplifying them is fundamental in mathematics.