Question

Put these fractions in order from least to greatest.

410
13
29


(1 point)
Responses

13
< 29
< 410
1 third < 2 ninths < 4 tenths

410
< 29
< 13
4 tenths < 2 ninths < 1 third

13
< 410
< 29
1 third < 4 tenths < 2 ninths

29
< 13
< 410
2 ninths < 1 third < 4 tenths

Answer 1

To put the fractions \( \frac{4}{10} \), \( \frac{2}{9} \), and \( \frac{1}{3} \) in order from least to greatest, we can convert them to decimal form:

1. \( \frac{4}{10} = 0.4 \)
2. \( \frac{2}{9} \approx 0.222 \) (since \( 2 \div 9 \) is about 0.222)
3. \( \frac{1}{3} \approx 0.333 \) (since \( 1 \div 3 \) is about 0.333)

Now we can order them:

- \( \frac{2}{9} \approx 0.222 \)
- \( \frac{1}{3} \approx 0.333 \)
- \( \frac{4}{10} = 0.4 \)

So the order from least to greatest is:

\( \frac{2}{9} < \frac{1}{3} < \frac{4}{10} \)

Now looking at the options provided:

- **13 < 29 < 410**
- **1/3 < 2/9 < 4/10**
- **410 < 29 < 13**
- **4/10 < 2/9 < 1/3**
- **29 < 13 < 410**
- **2/9 < 1/3 < 4/10**

The correct response that matches the ordered fractions \( \frac{2}{9} < \frac{1}{3} < \frac{4}{10} \) is:

**2 ninths < 1 third < 4 tenths**.