Question

A recipe requires (3/4 this is a fraction) of a cup of milk for every ( 1 1/2 this is a fraction) cups of flour. How many cups of milk are needed for each cup of flour?

Answers

GPT 3.5
To find out how many cups of milk are needed for each cup of flour, we can set up a ratio:

(3/4) cup of milk : (1 1/2) cups of flour

First, convert 1 1/2 to a fraction:

1 1/2 = 3/2

Now, simplify the ratio:

(3/4) / (3/2)

To divide fractions, invert and multiply:

(3/4) * (2/3) = 6/12 = 1/2

So, the ratio of milk to flour is 1/2. This means that 1/2 cup of milk is needed for each cup of flour.
Bella drove 202 miles in 10 hours. Fill out a table of equivalent ratios and plot the points on the coordinate axes
GPT 3.5
To find equivalent ratios for Bella's driving, we need to divide both the distance and time by the same value until we get smaller fractions. One way to do this is to divide both the distance and time by a constant factor that simplifies the ratio.

Given: Bella drove 202 miles in 10 hours

Let's start by simplifying the ratio of miles to hours for the given distance and time:

202 ÷ 2 = 101 miles
10 ÷ 2 = 5 hours

This gives us a simplified ratio of 101 miles to 5 hours.

Next, we can find other equivalent ratios by further simplifying the ratio of miles to hours. Some possible equivalent ratios could be:

- 50.5 miles to 2.5 hours
- 33.67 miles to 1.67 hours

These are just some examples of equivalent ratios based on the initial ratio provided. You can plot the points on the coordinate axes using these ratios.