Answer: 315/360
Explanation: To compare these fractions, notice that the fractions have different denominators. When fractions have different denominators or bottom numbers, they're called unlike fractions.
To compare unlike fractions, we must first get a common denominator. The common denominator of 4, 8, 10, and 9 will be the least common multiple of 4, 8, 10, and 9 which is 360.
To get a 360 in the denominator of 3/4, we multiply the numerator and the denominator by 90 and we get 270/360.
To get a 360 in the denominator of 7/8, we multiply the numerator and the denominator by 45 and we get 315/360.
To get a 360 in the denominator of 8/10, we multiply the numerator and the denominator by 36 and we get 288/360.
To get a 360 in the denominator of 7/9, we multiply the numerator and the denominator by 40 and we get 280/360.
Now, we simply look for the fraction with the greatest numerator.
Since 315 has the greatest numerator out of all of these fractions, this means that 315/360 is the greatest fraction.