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

Explanation:

Step1: Analyze Option A

Calculate the sum of \(\frac{3}{10}\) and \(\frac{4}{10}\): \(\frac{3}{10}+\frac{4}{10}=\frac{3 + 4}{10}=\frac{7}{10}\) kilograms. So Option A is correct.

Step2: Analyze Option B

Calculate the sum of \(\frac{1}{10}\) and \(\frac{8}{10}\): \(\frac{1}{10}+\frac{8}{10}=\frac{1+8}{10}=\frac{9}{10}\) kilograms. So Option B is incorrect.

Step3: Analyze Option C

Calculate the sum of \(\frac{2}{10}\), \(\frac{2}{10}\) and \(\frac{2}{10}\): \(\frac{2}{10}+\frac{2}{10}+\frac{2}{10}=\frac{2 + 2+2}{10}=\frac{6}{10}\) kilograms. So Option C is incorrect.

Step4: Analyze Option D

Calculate the sum of \(\frac{3}{10}\), \(\frac{3}{10}\) and \(\frac{1}{10}\): \(\frac{3}{10}+\frac{3}{10}+\frac{1}{10}=\frac{3+3 + 1}{10}=\frac{7}{10}\) kilograms. So Option D is correct.

Step5: Analyze Option E

Calculate the sum of \(\frac{1}{10}\), \(\frac{3}{10}\) and \(\frac{4}{10}\): \(\frac{1}{10}+\frac{3}{10}+\frac{4}{10}=\frac{1+3 + 4}{10}=\frac{8}{10}\) kilograms. So Option 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