Answer:
The ratio is a fraction that tells us how many times longer a thing is compared to another thing. In mathematics, we express a ratio as the relationship between two numbers, namely [tex]a \ and \ b[/tex], so the ratio can be written as:
[tex]r=\frac{a}{b}[/tex]
If we can change this number without changing the ration we need to multiply both the numerator and the denominator by the same number. For instance, if we have the following ratio:
[tex]r=\frac{2}{3}[/tex]
We can multiply both the numerator and denominator, say, by 7. Then:
[tex]r=\frac{7\times 2}{7 \times 3}=\frac{14}{21}[/tex]
As you can see, the ratio's number has changed but without changing the ratio itself because:
[tex]\frac{2}{3}=\frac{14}{21}[/tex]
