Multiply. Express your answer in simplest form.
7/10
×
2/5
To multiply fractions, you multiply the numerators (top numbers) and denominators (bottom numbers) separately.
In this case, you multiply the numerators 7 and 2 to get 7 × 2 = 14. Similarly, you multiply the denominators 10 and 5 to get 10 × 5 = 50.
Therefore, the product of 7/10 and 2/5 is 14/50.
To express the answer in simplest form, you need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by it. In this case, the GCD of 14 and 50 is 2. Dividing both the numerator and denominator by 2, we get:
14 ÷ 2 / 50 ÷ 2 = 7/25
So, the simplest form of 7/10 multiplied by 2/5 is 7/25.