What is the least common denominator for the fractions below? (Round the answer to the nearest integer) 1/2, 2/3, 4/5
A. 30
B. 25
C. 7
D. 19
We determine least common denominator (LCD) using prime factorization of denominators as follows
2=1*2
3=1*3
5=1*5
Thus, LCD of 2, 3, 5 = 2*3*5=30
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: A homeowner has hired two people to mow his lawn. If person A is able to mow the lawn in 2 hr by herself and person B is able to mow in lawn in 3 hr by himself. Which of the following is the amount of time it would take for both person A and B to mow the lawn together?
A. 5 hours
B. 2.5 hours
C. 1.2 hours
D. 1 hours
Answer Explanation
We know that the two people work on the same work but the time to complete the work differs. Thus, the rate of doing the work for each person is as follows:
Rate of work for person A = 1 /2 work per hr
Rate of work for person B=1/3 work per hour
If person A and B work together, the time of doing the same work will be less than the fastest person A. Thus, we combine the two rates of A and B
We have 1 work and time to complete by both A and B becomes
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Q #2: Which of the following weights is equivalent to 3.193 kilograms?
A. 3,193,000 grams
B. 3,193 grams
C. 319.3 grams
D. 0.003193 grams
Answer Explanation
We use the relation 1 kg=1000 g to convert 3.193 kg to g
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Q #3: Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
A. 1/5
B. 1/3
C. ¼
D. 1/6
Answer Explanation
We assume the pizza to be full representing 1. One friend eats ½ of 1=1/2
The remaining portion of the pizza=1-1/2=2/2-1/2=1/2
Three friends share equally ½ of the pizza=1/2÷3=12*13=1/6
