8. Which fraction pairs are equivalent? (A) $$ \frac{2}{4} $$ and $$ \frac{5}{10} $$ (B) $$ \frac{5}{6} $$ and $$ \frac{10}{12} $$ (C) $$ \frac{6}{8} $$ and $$ \frac{3}{4} $$ (D) $$ \frac{8}{10} $$ and $$ \frac{6}{8} $$ (E) $$ \frac{9}{12} $$ and $$ \frac{6}{8} $$

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UpStudy AI · Accepted Answer

1. For pair (A):  
   $$
   \frac{2}{4} = \frac{1}{2} \quad \text{and} \quad \frac{5}{10} = \frac{1}{2}.
   $$
   Since both simplify to $$\frac{1}{2}$$, the fractions are equivalent.

2. For pair (B):  
   $$
   \frac{10}{12} \text{ simplifies by dividing numerator and denominator by } 2 \text{, yielding } \frac{5}{6}.
   $$
   Hence, $$\frac{5}{6}$$ and $$\frac{10}{12}$$ are equivalent.

3. For pair (C):  
   $$
   \frac{6}{8} = \frac{3}{4} \quad \text{(dividing numerator and denominator by } 2).
   $$
   Thus, $$\frac{6}{8}$$ and $$\frac{3}{4}$$ are equivalent.

4. For pair (D):  
   $$
   \frac{8}{10} = \frac{4}{5} \quad \text{and} \quad \frac{6}{8} = \frac{3}{4}.
   $$
   Since $$\frac{4}{5} \neq \frac{3}{4}$$, the fractions are not equivalent.

5. For pair (E):  
   $$
   \frac{9}{12} = \frac{3}{4} \quad \text{and} \quad \frac{6}{8} = \frac{3}{4}.
   $$
   Both fractions simplify to $$\frac{3}{4}$$, so they are equivalent.

The fraction pairs that are equivalent are in choices (A), (B), (C), and (E).
The equivalent fraction pairs are (A), (B), (C), and (E).

Which fraction pairs are equivalent?
(A) and
(B) and
© and
(D) and
(E) and

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Which fraction pairs are equivalent? (A) and (B) and © and (D) and (E) and