Final answer:
To simplify the expression 5/2 * 10/7 as a fraction in simplest form, multiply the numerators and denominators, then simplify the obtained fraction by finding the GCD and dividing both numerator and denominator by it. The simplified form is 25/7.
Step-by-step explanation:
To simplify the expression 5/2 * 10/7 as a fraction in simplest form, we multiply the numerators and then multiply the denominators:
5/2 * 10/7 = (5 * 10) / (2 * 7) = 50/14
Next, we simplify the obtained fraction by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 50 and 14 is 2.
Dividing both the numerator and denominator by 2, we get:
50/14 = (50 ÷ 2) / (14 ÷ 2) = 25/7
Therefore, the simplified form of 5/2 * 10/7 is 25/7.