Which numbers are between 3 2/7 and 5 1/7? Multi-select Choices: (A)3 5/7 (B)5 3/7 (C)3 5/10 (D)4 5/7

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier comparison. 3 2/7 = (3*7 + 2)/7 = 23/7 5 1/7 = (5*7 + 1)/7 = 36/7Check Choice (A): Convert choice (A) 3 5/7 to an improper fraction. 3 5/7 = (3*7 + 5)/7 = 26/7 Check if 26/7 is between 23/7 and 36/7. 23/7 < 26/7 < 36/7, so 3 5/7 is between.Check Choice (B): Convert choice (B) 5 3/7 to an improper fraction. 5 3/7 = (5*7 + 3)/7 = 38/7 Check if 38/7 is between 23/7 and 36/7. 38/7 is not between 23/7 and 36/7.Check Choice (C): Convert choice (C) 3 5/10 to an improper fraction. 3 5/10 = (3*10 + 5)/10 = 35/10 Convert 35/10 to a fraction with denominator 7 for comparison. 35/10 = 24.5/7 Check if 24.5/7 is between 23/7 and 36/7. 23/7 < 24.5/7 < 36/7, so 3 5/10 is between.

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Which numbers are between $3\frac{2}{7}$ and $5\frac{1}{7}$ ? $\newline$ Multi-select Choices: $\newline$ (A) $3\frac{5}{7}$ $\newline$ (B) $5\frac{3}{7}$ $\newline$ (C) $3\frac{5}{10}$ $\newline$ (D) $4\frac{5}{7}$

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Q. Which numbers are between

3\frac{2}{7}

and

5\frac{1}{7}

\newline

Multi-select Choices:

\newline

(A)

3\frac{5}{7}

\newline

(B)

5\frac{3}{7}

\newline

(C)

3\frac{5}{10}

\newline

(D)

4\frac{5}{7}

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier comparison. $\newline$ $3 \frac{2}{7} = (3\times7 + 2)/7 = \frac{23}{7}$ $\newline$ $5 \frac{1}{7} = (5\times7 + 1)/7 = \frac{36}{7}$
Check Choice (A): Convert choice (A) $3 \frac{5}{7}$ to an improper fraction. $\newline$ $3 \frac{5}{7} = (3\times7 + 5)/7 = \frac{26}{7}$ $\newline$ Check if $\frac{26}{7}$ is between $\frac{23}{7}$ and $\frac{36}{7}$ . $\newline$ \frac{23}{7} < \frac{26}{7} < \frac{36}{7}, so $3 \frac{5}{7}$ is between.
Check Choice (B): Convert choice (B) $5 \frac{3}{7}$ to an improper fraction. $\newline$ $5 \frac{3}{7} = (5\times7 + 3)/7 = \frac{38}{7}$ $\newline$ Check if $\frac{38}{7}$ is between $\frac{23}{7}$ and $\frac{36}{7}$ . $\newline$ $\frac{38}{7}$ is not between $\frac{23}{7}$ and $\frac{36}{7}$ .
Check Choice (C): Convert choice (C) $3 \frac{5}{10}$ to an improper fraction. $\newline$ $3 \frac{5}{10} = (3\times10 + 5)/10 = \frac{35}{10}$ $\newline$ Convert $\frac{35}{10}$ to a fraction with denominator $7$ for comparison. $\newline$ $\frac{35}{10} = \frac{24.5}{7}$ $\newline$ Check if $\frac{24.5}{7}$ is between $\frac{23}{7}$ and $\frac{36}{7}$ . $\newline$ \frac{23}{7} < \frac{24.5}{7} < \frac{36}{7}, so $3 \frac{5}{10}$ is between.