Calculate the following and express as a fraction in its lowest terms.

1/10×5/7=

To multiply fractions, you simply multiply the numerators together and multiply the denominators together.

(1/10) × (5/7) = (1 × 5) / (10 × 7)

= 5 / 70

However, to express this fraction in its lowest terms, we can simplify it by dividing both the numerator and denominator by their greatest common divisor, which is 5 in this case.

(5 / 70) ÷ 5 = 1 / 14

Therefore, 1/10 × 5/7 is equal to 1/14.