QuestionMarch 21, 2026

Which fraction is equivalent to (2)/(3) ? (24)/(30) (6)/(10) (28)/(39) (26)/(39)

Which fraction is equivalent to (2)/(3) ? (24)/(30) (6)/(10) (28)/(39) (26)/(39)
Which fraction is equivalent to (2)/(3) ?
(24)/(30)
(6)/(10)
(28)/(39)
(26)/(39)

Solution
4.0(215 votes)

Answer

\frac{26}{39} Explanation 1. Check equivalence by simplification Simplify each fraction to see if it equals \frac{2}{3}. 2. Simplify \frac{24}{30} \frac{24}{30} \div \frac{6}{6} = \frac{4}{5} \neq \frac{2}{3} 3. Simplify \frac{6}{10} \frac{6}{10} \div \frac{2}{2} = \frac{3}{5} \neq \frac{2}{3} 4. Simplify \frac{28}{39} No common divisor other than 1; \frac{28}{39} \neq \frac{2}{3} 5. Simplify \frac{26}{39} \frac{26}{39} \div \frac{13}{13} = \frac{2}{3} → equivalent.

Explanation

1. Check equivalence by simplification <br /> Simplify each fraction to see if it equals $\frac{2}{3}$. <br /><br />2. Simplify $\frac{24}{30}$ <br /> $\frac{24}{30} \div \frac{6}{6} = \frac{4}{5} \neq \frac{2}{3}$ <br /><br />3. Simplify $\frac{6}{10}$ <br /> $\frac{6}{10} \div \frac{2}{2} = \frac{3}{5} \neq \frac{2}{3}$ <br /><br />4. Simplify $\frac{28}{39}$ <br /> No common divisor other than 1; $\frac{28}{39} \neq \frac{2}{3}$ <br /><br />5. Simplify $\frac{26}{39}$ <br /> $\frac{26}{39} \div \frac{13}{13} = \frac{2}{3}$ → equivalent.
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