Write three different ratios from 4 and 3.

Understand the Problem

The question is asking for three different ratios based on the counts of arrows and stars depicted in a picture. In this case, there are 4 stars and 3 arrows. We will provide three different ways to represent the ratio of arrows to stars and stars to arrows.

Answer

The three different ratios are $ \frac{3}{4} $, $ \frac{4}{3} $, and $ 3:4 $ to $ 4:3 $.

Steps to Solve

Identify the counts of each object

From the picture, we see that there are 4 stars and 3 arrows.

Write the ratio of arrows to stars

The ratio of arrows to stars is expressed as the number of arrows over the number of stars. Thus,

$$ \text{Ratio of arrows to stars} = \frac{3}{4} $$

Write the ratio of stars to arrows

The ratio of stars to arrows is the number of stars over the number of arrows. Therefore,

$$ \text{Ratio of stars to arrows} = \frac{4}{3} $$

Express the ratios in different formats

We can express the ratios in three different ways:

As fractions: $ \frac{3}{4} $ for arrows to stars and $ \frac{4}{3} $ for stars to arrows.
As a colon ratio: $ 3:4 $ for arrows to stars and $ 4:3 $ for stars to arrows.
As a decimal: $ 0.75 $ for arrows to stars and approximately $ 1.33 $ for stars to arrows.

The three different ratios are:

$ \frac{3}{4} $ (arrows to stars)
$ \frac{4}{3} $ (stars to arrows)
$ 3:4 $ (arrows to stars) and $ 4:3 $ (stars to arrows)

More Information

Ratios can be represented in various forms, including fractions, colon format, and decimals, which can help in understanding their relationships.

Tips

Confusing the order of counting objects can lead to incorrect ratios. Always ensure to identify which is the numerator (the first count) and which is the denominator (the second count).
Not simplifying the ratio if possible, though in this case, both ratios are already in simplest form.

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