Provide an appropriate response.Explain why, when one number is a factor of another, the least common denominator of the numbers is the larger number.
What will be an ideal response?
Every prime factor of the smaller number is contained in the prime factorization of the larger number. Then the least common denominator will contain each prime factor exactly the number of times it appears in the larger number, and hence, is the larger number.
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Perform the indicated operation. Write the answer in lowest terms.2 ÷ 1
A. 2
B. 1
C. 3
D. 1
Factor. Check by multiplying.15 + 15z
A. 15(0 + z) B. 15(1 + z) C. 15(1 + 15z) D. 15(15 + z)
Evaluate the function for the indicated input and interpret the result.A(12, 48, 42) where A(x, y, z) = . (A computes the average of three numbers x, y, and z.)
A. A(12, 48, 42) = 17 The average of the three numbers 12, 48, and 42 is 17. B. A(12, 48, 42) = 17 The average of 17 is the three numbers 12, 48, and 42. C. A(12, 48, 42) = 102 The average of the three numbers 12, 48, and 42 is 102. D. A(12, 48, 42) = 34 The average of the three numbers 12, 48, and 42 is 34.
Use the quotient rule to simplify the expression. Use positive exponents to write the answer.
A. x11
B.
C.
D. -x3