Which correctly renames (7)/(8) and (5)/(6) using a common denominator? A. (42)/(48) and (40)/(48) B. (42)/(48) and (30)/(48) C. (14)/(16) and (15)/(18) D. (28)/(24) and (20)/(24)

Question

Which correctly renames  (7)/(8) and  (5)/(6) using a common denominator? A.  (42)/(48) and  (40)/(48) B.  (42)/(48) and  (30)/(48) C.  (14)/(16) and  (15)/(18) D.  (28)/(24) and  (20)/(24)

Bytelearn · Accepted Answer

Find Common Denominator: To find a common denominator for the fractions (7/8) and (5/6), we need to find the least common multiple (LCM) of the denominators 8 and 6.Calculate Least Common Multiple: The multiples of 8 are 8, 16, 24, 32, 40, 48, and so on. The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, and so on. The least common multiple of 8 and 6 is 24.Convert Fractions to Equivalent: Now we need to convert each fraction to an equivalent fraction with the denominator of 24. For (7/8), we multiply both the numerator and the denominator by 3 to get (7*3)/(8*3) = (21)/(24). For (5/6), we multiply both the numerator and the denominator by 4 to get (5*4)/(6*4) = (20)/(24).Check Answer Choices: We check the answer choices to see which one matches our calculations. A. (42)/(48) and (40)/(48) - This is incorrect because the common denominator is 48, not 24. B. (42)/(48) and (30)/(48) - This is incorrect because the common denominator is 48, not 24, and the numerators do not match our calculations. C. (14)/(16) and (15)/(18) - This is incorrect because the common denominator is not 24. D. (28)/(24) and (20)/(24) - This is incorrect because the numerator for the first fraction does not match our calculation.Error in Answer Choices: None of the answer choices match our calculations of (21)/(24) and (20)/(24). There seems to be an error in the provided answer choices.

Which correctly renames $\frac{7}{8}$ and $\frac{5}{6}$ using a common denominator? $\newline$ A. $\frac{42}{48}$ and $\frac{40}{48}$ $\newline$ B. $\frac{42}{48}$ and $\frac{30}{48}$ $\newline$ C. $\frac{14}{16}$ and $\frac{15}{18}$ $\newline$ D. $\frac{28}{24}$ and $\frac{20}{24}$

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