Choose all the common denominators for (1)/(4) and (7)/(10). A. 10 B. 20 C. 24 D. 32 E. 40

Question

Choose all the common denominators for  (1)/(4) and  (7)/(10). A. 10 B. 20 C. 24 D. 32 E. 40

Bytelearn · Accepted Answer

Find Common Denominators: To find common denominators for the fractions (1)/(4) and (7)/(10), we need to find multiples of the denominators 4 and 10 that are the same.Multiples of 4: The first few multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...Multiples of 10: The first few multiples of 10 are 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...Identify Common Multiples: Now we look for the common multiples from the lists above. The common multiples of 4 and 10 within the given options are 20 and 40.Check Option A: We check the options given in the problem to see which ones are common multiples of 4 and 10. Option A (10) is not a multiple of 4, so it is not a common denominator.Check Option B: Option B (20) is a multiple of both 4 and 10, so it is a common denominator.Check Option C: Option C (24) is a multiple of 4 but not a multiple of 10, so it is not a common denominator.Check Option D: Option D (32) is a multiple of 4 but not a multiple of 10, so it is not a common denominator.Check Option E: Option E (40) is a multiple of both 4 and 10, so it is a common denominator.

Choose all the common denominators for $\frac{1}{4}$ and $\frac{7}{10}$ . $\newline$ A. $10$ $\newline$ B. $20$ $\newline$ C. $24$ $\newline$ D. $32$ $\newline$ E. $40$

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Choose all the common denominators for 14 \frac{1}{4} 41​ and 710 \frac{7}{10} 107​.\newlineA. 101010\newlineB. 202020\newlineC. 242424\newlineD. 323232\newlineE. 404040

Choose all the common denominators for $\frac{1}{4}$ and $\frac{7}{10}$ . $\newline$ A. $10$ $\newline$ B. $20$ $\newline$ C. $24$ $\newline$ D. $32$ $\newline$ E. $40$