A scientist poured 2/3

Question

of a liter of water into a cup and 3/10
of a liter of water into a jar. Which comparisons are true about the amounts of water the scientist poured?

Select all that apply.

(1 point)
Responses

3/10>2/3

3 10 > 2 3

2/3=3/10

2 3 = 3 10

2/3>3/10

2 3 > 3 10

3/10=2/3

3 10 = 2 3

3/10<2/3

Answer 1

To compare the fractions \( \frac{2}{3} \) and \( \frac{3}{10} \), we can convert them to have a common denominator or convert them to decimal form.

1. Converting \( \frac{2}{3} \) to decimal: \[ \frac{2}{3} \approx 0.6667 \]

2. Converting \( \frac{3}{10} \) to decimal: \[ \frac{3}{10} = 0.3 \]

Now we can compare the two values:

• \( 0.6667 > 0.3 \)
• Therefore, \( \frac{2}{3} > \frac{3}{10} \)

Now let's evaluate the options:

1. \( \frac{3}{10} > \frac{2}{3} \) (False)
2. \( \frac{2}{3} = \frac{3}{10} \) (False)
3. \( \frac{2}{3} > \frac{3}{10} \) (True)
4. \( \frac{3}{10} = \frac{2}{3} \) (False)
5. \( \frac{3}{10} < \frac{2}{3} \) (True)

True comparisons:

• \( \frac{2}{3} > \frac{3}{10} \)
• \( \frac{3}{10} < \frac{2}{3} \)

So, the correct responses are:

• \( 2/3 > 3/10 \)
• \( 3/10 < 2/3 \)