Select all expressions that are equal to 5/8

Question

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(1 point)
Responses

1/8+1/8+1/8+1/8+1/8

1 8 + 1 8 + 1 8 + 1 8 + 1 8

2/4+3/4

2 4 + 3 4

1/8+2/8+3/8

1 8 + 2 8 + 3 8

4/8+1/8

4 8 + 1 8

4/7+1/1

Answer 1

Let's evaluate each expression to see which ones equal \( \frac{5}{8} \).

1. \( \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} \)

   • This is \( 5 \times \frac{1}{8} = \frac{5}{8} \). (Equal to \( \frac{5}{8} \))

2. \( \frac{2}{4} + \frac{3}{4} \)

   • This is \( \frac{2 + 3}{4} = \frac{5}{4} \). (Not equal to \( \frac{5}{8} \))

3. \( \frac{1}{8} + \frac{2}{8} + \frac{3}{8} \)

   • This is \( \frac{1 + 2 + 3}{8} = \frac{6}{8} \), which simplifies to \( \frac{3}{4} \). (Not equal to \( \frac{5}{8} \))

4. \( \frac{4}{8} + \frac{1}{8} \)

   • This is \( \frac{4 + 1}{8} = \frac{5}{8} \). (Equal to \( \frac{5}{8} \))

5. \( \frac{4}{7} + \frac{1}{1} \)

   • This is \( \frac{4}{7} + 1 = \frac{4}{7} + \frac{7}{7} = \frac{4 + 7}{7} = \frac{11}{7} \). (Not equal to \( \frac{5}{8} \))

The expressions that are equal to \( \frac{5}{8} \) are:

• \( \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} \)
• \( \frac{4}{8} + \frac{1}{8} \)

So the final answer is:

• \( \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} \)
• \( \frac{4}{8} + \frac{1}{8} \)