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Common Denominators (SHSAT Level):

Try your hand at some slightly more challenging common denominator problems similar to ones you are likely to see on exam day.

1.

Jen’s class has between 30 and 41 students. Exactly 75% of the students in her class have red book bags, and exactly 1/6 of the students in her class do not have a book bag at all. How many students are in Jen’s class?

Question 1 of 7

2.

A1A2A2A3A3A4A4A5A5A6

If Ak = 1/k for any positive value of k, and k is a positive integer, what is the value of the expression above?

Question 2 of 7

3.

On a number line, points J, K, L, and M are in alphabetical order and point K lies at 3/8.

JK = 3 1/2

JM = 9 3/4

LM = 1 1/8

What is the position of point L?

Question 3 of 7

4.

Calculate the multiplicative inverse of 4/3 + 1/2 - 4/5.

(express as a simple or improper fraction e.g. 2/3 or 3/2)

Question 4 of 7

5.

One main reason to calculate common denominators is to be able to add and subtract fractions.

(1 ÷ 2) + 4/5 + 3/7 = ?

Question 5 of 7

6.

5/6 + 2/5 = ?

Question 6 of 7

7.

Which of the following is a common denominator of 1/2, 1/3, 3/4, 5/6?

Question 7 of 7