Find the number that makes the ratio equivalent to 1:9.
Understand the Problem
The question is asking to find a number that will create a ratio equivalent to 1:9. This will likely involve solving an equation based on the properties of ratios.
Answer
The number is $1$.
Answer for screen readers
The number that makes the ratio equivalent to ( 1:9 ) is ( 1 ).
Steps to Solve
- Set up the ratio equation
We are given the ratio ( 1:9 ), which means we can express this as ( \frac{x}{9} = \frac{1}{9} ) where ( x ) is the unknown number we need to find.
- Cross multiply to eliminate the fraction
By cross-multiplying, we have: $$ x \cdot 9 = 1 \cdot 9 $$
This simplifies to: $$ 9x = 9 $$
- Solve for ( x )
Now, divide both sides by 9 to isolate ( x ): $$ x = \frac{9}{9} $$
Thus, $$ x = 1 $$
The number that makes the ratio equivalent to ( 1:9 ) is ( 1 ).
More Information
In ratios, maintaining the same relationship between the parts is crucial. Here, the number 1 keeps the ratio consistent with ( 1:9 ).
Tips
- A common mistake is misinterpreting the question and providing the wrong number for the ratio. Make sure you understand that the ratio is 1 part to 9 parts, which keeps the overall relationship consistent.
