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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

Answer Explanation:

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.

Q #1: Which of the following is 31% of 426?

A. 425.69

B. 132.06

C. 13.7

D. 0.07

Answer Explanation

First convert 31% to a decimal before working on the problem

31%=31/100=0.31

Thus, 31% of 426=0.31*426=132.06
Q #2: The length of a rectangle is 3 units greater than its width. Which expression would correctly represent the perimeter of the rectangle?

A. 2W+2[W+3]

B. W+W+3

C. W[W+3]

D. 2W+2[3W]

Answer Explanation

Let width of the rectangle be W. We are told that length, L is 3 units greater than width. Then,

L=W+3

And perimeter of the rectangle is given by the relation, P=2(L+W]=2L+2W

In place of L substitute W+3. Thus,

P=2[W+3]+2W
Q #3: A consumer makes a $400 down payment on a television that costs $1,570. Which of the following is the number of months it will take to pay off the television with monthly payments of $100? (Assume that no interest is owed)

A. 12

B. 16

C. 15

D. 11

Answer Explanation

Hire purchase cost=down payment + total monthly installment

Total monthly payment=hire purchase cost-down payment= $(1570-400)=$ 1170

Number of months=total monthly payment/monthly payment=$1170/$100=11.7 months

The consumer will clear the balance in 12 months.

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