Answer :
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:
[tex]\frac{\mathbf{4}}{\mathbf{1}}[/tex]
____________________________________________
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.
Answer:
The two equivalent ratios are:
2:2
and 5:5
Step-by-step 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:
[tex]\dfrac{1}{1}\times \dfrac{2}{2}\\\\=\dfrac{2}{2}[/tex]
Hence, the ratio is: 2:2
- Next we multiply and divide by 5 to obtain:
[tex]\dfrac{1}{1}\times \dfrac{5}{5}\\\\\\=\dfrac{5}{5}[/tex]
Hence, the ratio is: 5:5
