Question

1. which expressions represent \\(\frac{7}{10}\\) kilograms? choose all that apply.\

a. \\(\frac{3}{10}\\) kilograms + \\(\frac{4}{10}\\) kilograms\
\
b. \\(\frac{1}{10}\\) kilograms + \\(\frac{8}{10}\\) kilograms\
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c. \\(\frac{2}{10}\\) kilograms + \\(\frac{2}{10}\\) kilograms + \\(\frac{2}{10}\\) kilograms\
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d. \\(\frac{3}{10}\\) kilograms + \\(\frac{3}{10}\\) kilograms + \\(\frac{1}{10}\\) kilograms\
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e. \\(\frac{1}{10}\\) kilograms + \\(\frac{3}{10}\\) kilograms + \\(\frac{4}{10}\\) kilograms

Explanation:

Step1: Analyze Option A

Calculate the sum: $\frac{3}{10} + \frac{4}{10} = \frac{3 + 4}{10} = \frac{7}{10}$ kilograms. So A is correct.

Step2: Analyze Option B

Calculate the sum: $\frac{1}{10} + \frac{8}{10} = \frac{1 + 8}{10} = \frac{9}{10}$ kilograms. Not equal to $\frac{7}{10}$, so B is incorrect.

Step3: Analyze Option C

Calculate the sum: $\frac{2}{10} + \frac{2}{10} + \frac{2}{10} = \frac{2 + 2 + 2}{10} = \frac{6}{10}$ kilograms. Not equal to $\frac{7}{10}$, so C is incorrect.

Step4: Analyze Option D

Calculate the sum: $\frac{3}{10} + \frac{3}{10} + \frac{1}{10} = \frac{3 + 3 + 1}{10} = \frac{7}{10}$ kilograms. So D is correct.

Step5: Analyze Option E

Calculate the sum: $\frac{1}{10} + \frac{3}{10} + \frac{4}{10} = \frac{1 + 3 + 4}{10} = \frac{8}{10}$ kilograms. Not equal to $\frac{7}{10}$, so E is incorrect.

Answer:

A. $\frac{3}{10}$ kilograms $+$ $\frac{4}{10}$ kilograms, D. $\frac{3}{10}$ kilograms $+$ $\frac{3}{10}$ kilograms $+$ $\frac{1}{10}$ kilograms