Question

My problem says"Write two ratios that are equivalent to 1:1

Answer 1

The two equivalent ratios are:

2:2

and 5:5

Explanation:

Equivalent Ratios--

Two ratios are said to be equivalent if they have the same value.

The equivalent ratios of a given ratio is obtained by multiplying or dividing by the same number.

We are given a ratio as: 1:1

• So, we multiply and divide by 2 to obtain the first equivalent ratio as:

`(1)/(1)* (2)/(2)\\\\=(2)/(2)`

Hence, the ratio is: 2:2

• Next we multiply and divide by 5 to obtain:

`(1)/(1)* (5)/(5)\\\\\\=(5)/(5)`

Hence, the ratio is: 5:5

Answer 2

In mathematics, a ratio is a relationship between two numbers that indicates how many times the first number contains the second. Put another way, a ratio says how much of one thing there is compared to another thing.

We can express ratios in different ways.

a) We Use the the symbol : to separate the values. For instance:

4:1

b) We can use the word to. For instance:

3 to 1

c) We can write it like a fraction. For instance:

`\frac{\mathbf{4}}{\mathbf{1}}`

____________________________________________

Since the problem establishes to write two ratios that are equivalent to 1:1. From the Figure below there is 1 red square to 1 blue square. So, writing the new ratios we have:

First.

2:2 is equivalent to 1:1, that is the ratio is also 1 red square to 1 blue square, even though there are more squares. You can see this in the Figure below.

Second.

4:4 is equivalent to 1:1. As in the previous statement the ratio is also 1 red square to 1 blue square, even though there are four red squares and four blue squares as illustrated in the Figure.