What is equivalent to 1:5?
Understand the Problem
The question is asking for a ratio equivalent to 1:5, which involves understanding relationships between numbers and can involve finding other pairs of numbers that maintain the same proportional relationship.
Answer
2:10; 3:15
Answer for screen readers
Examples of ratios equivalent to 1:5 are 2:10 and 3:15
Steps to Solve
- Understand ratios
Ratios compare two quantities and can be scaled up or down by multiplying or dividing both terms by the same number.
- Choose a scaling factor
We need to find another ratio that maintains the same relationship as 1:5. We can select any number as a scaling factor. For example, let's choose the scaling factor 2.
- Multiply both terms by the scaling factor
Multiply both the numerator and the denominator of the ratio by the scaling factor (2):
(
1 \times 2 : 5 \times 2
)
(
= 2 : 10
)
- Verify using another scaling factor (optional)
To verify, you can use another scaling factor, say 3, and multiply both terms again:
( 1 \times 3 : 5 \times 3 ) ( = 3 : 15 )
So both 2:10 and 3:15 are equivalent to 1:5.
Examples of ratios equivalent to 1:5 are 2:10 and 3:15
More Information
Ratios equivalent to 1:5 can be found by multiplying both numbers in the ratio by the same factor. This keeps the proportions the same.
Tips
A common mistake is to add or subtract the same amount to both numbers in the ratio. Instead, you need to multiply or divide both terms by the same number to maintain the correct proportion.
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