Question

The local food pantry has fourteen cans of green beans, forty-nine cans of corn, fifteen cans of chicken noodle soup, and eight cans of black beans. What is the ratio of cans of green beans to cans of corn in the food pantry? Represent the ratio as a decimal and round it to the nearest hundredth.(1 point)

Answer 1

To find the ratio of cans of green beans to cans of corn, we can divide the number of cans of green beans by the number of cans of corn.

Given:

• Cans of green beans = 14
• Cans of corn = 49

The ratio is calculated as:

\[ \text{Ratio} = \frac{\text{Cans of green beans}}{\text{Cans of corn}} = \frac{14}{49} \]

To simplify this ratio:

\[ \frac{14}{49} = \frac{14 \div 7}{49 \div 7} = \frac{2}{7} \]

Next, we can convert this fraction to a decimal by performing the division:

\[ 2 \div 7 \approx 0.2857142857 \]

Now, rounding this value to the nearest hundredth:

\[ 0.2857142857 \approx 0.29 \]

Thus, the ratio of cans of green beans to cans of corn, represented as a decimal and rounded to the nearest hundredth, is:

\[ \boxed{0.29} \]