Which fraction is equivalent to 4/5? Choices: (A)2/3 (B)1/4 (C)6/9 (D)8/10

Simplify Choice (A): Step 1: Simplify each choice to see if it matches 4/5. Start with choice (A) 2/3. Simplify Choice (B): Step 2: Simplify 2/3. It cannot be simplified further and does not equal 4/5. Check Choice (C): Step 3: Move to choice (B) 1/4. Check Choice (D): Step 4: Simplify 1/4. It cannot be simplified further and does not equal 4/5. Step 5: Check choice (C) 6/9. Step 6: Simplify 6/9 to 2/3 by dividing both numerator and denominator by 3. It does not equal 4/5. Step 7: Finally, check choice (D) 8/10. Step 8: Simplify 8/10 to 4/5 by dividing both numerator and denominator by 2. This matches 4/5.

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Which fraction is equivalent to $\frac{4}{5}$ ? $\newline$ Choices: $\newline$ (A) $\frac{2}{3}$ $\newline$ (B) $\frac{1}{4}$ $\newline$ (C) $\frac{6}{9}$ $\newline$ (D) $\frac{8}{10}$

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Math Problems

Algebra 1

Add and subtract rational expressions

Full solution

Q. Which fraction is equivalent to

\frac{4}{5}

\newline

Choices:

\newline

(A)

\frac{2}{3}

\newline

(B)

\frac{1}{4}

\newline

(C)

\frac{6}{9}

\newline

(D)

\frac{8}{10}

Simplify Choice (A): Step $1$ : Simplify each choice to see if it matches $\frac{4}{5}$ . Start with choice (A) $\frac{2}{3}$ .
Simplify Choice (B): Step $2$ : Simplify $\frac{2}{3}$ . It cannot be simplified further and does not equal $\frac{4}{5}$ .
Check Choice (C): Step $3$ : Move to choice (B) $\frac{1}{4}$ .
Check Choice (D): Step $4$ : Simplify $\frac{1}{4}$ . It cannot be simplified further and does not equal $\frac{4}{5}$ .
Check Choice (D): Step $4$ : Simplify $\frac{1}{4}$ . It cannot be simplified further and does not equal $\frac{4}{5}$ . Step $5$ : Check choice (C) $\frac{6}{9}$ .
Check Choice (D): Step $4$ : Simplify $\frac{1}{4}$ . It cannot be simplified further and does not equal $\frac{4}{5}$ . Step $5$ : Check choice (C) $\frac{6}{9}$ . Step $6$ : Simplify $\frac{6}{9}$ to $\frac{2}{3}$ by dividing both numerator and denominator by $3$ . It does not equal $\frac{4}{5}$ .
Check Choice (D): Step $4$ : Simplify $\frac{1}{4}$ . It cannot be simplified further and does not equal $\frac{4}{5}$ . Step $5$ : Check choice (C) $\frac{6}{9}$ . Step $6$ : Simplify $\frac{6}{9}$ to $\frac{2}{3}$ by dividing both numerator and denominator by $3$ . It does not equal $\frac{4}{5}$ . Step $7$ : Finally, check choice (D) $\frac{8}{10}$ .
Check Choice (D): Step $4$ : Simplify $\frac{1}{4}$ . It cannot be simplified further and does not equal $\frac{4}{5}$ . Step $5$ : Check choice (C) $\frac{6}{9}$ . Step $6$ : Simplify $\frac{6}{9}$ to $\frac{2}{3}$ by dividing both numerator and denominator by $3$ . It does not equal $\frac{4}{5}$ . Step $7$ : Finally, check choice (D) $\frac{8}{10}$ . Step $8$ : Simplify $\frac{8}{10}$ to $\frac{4}{5}$ by dividing both numerator and denominator by $\frac{4}{5}$ $0$ . This matches $\frac{4}{5}$ .