Which is the largest fraction:

3/4

7/8

8/10

7/9

Answer: 315/360

Step-by-step 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.

7/8

Step-by-step explanation:

It has the greatest decimal of 0.75, 0.875, 0.8, and 0.7777 ...