The following is a selected video from your teacher comm. You can browse over 450 complete math lessons with example videos, interactive practice problems, self tests, and more. Try a complete lesson today at your teacher comm. On the last math quiz, Tarah answered five sevenths of the problems correctly and Julia answered 7/10 of them correctly. If each problem is worth the same amount, who got the higher grade? We know that on the last math quiz, Tarah answered five sevenths of the problems correctly and Julia answered 7/10 of them correctly. We also know that each problem is worth the same amount. We want to find out who got the higher grade, so we need to compare the number of problems that Tarah answered correctly (5/7) to the number of problems that Julia answered correctly (7/10) to see which is greater. Notice that 5/7 and 7/10 are unlike fractions, so we need to get a common denominator. The common denominator of 7 and 10 is the least common multiple of 7 and 10, which is 70. To get a 70 in the denominator of 5/7, we multiply the numerator and the denominator by 10, which gives us 50/70. To get a 70 in the denominator of 7/10, we multiply the numerator and the denominator by 7, which gives us 49/70. Now we can see that 50/70 is greater than 49/70. This means that 5/7 is greater than 7/10. Since Tarah answered five sevenths of the problems correctly, she got the higher grade.