99 into 2:7
Understand the Problem
The question is asking to multiply 99 by the ratio 2:7, which usually means to scale the 99 in relation to the parts of the ratio. To solve it, we can view the ratio as a fraction and calculate accordingly.
Answer
\( 22 \)
Answer for screen readers
The final answer is ( 22 ).
Steps to Solve
- Convert the ratio to a fraction
The given ratio 2:7 can be expressed as a fraction. This can be written as:
$$ \text{Fraction} = \frac{2}{2 + 7} = \frac{2}{9} $$
- Multiply by 99
Now, we will multiply 99 by the fraction we found in the previous step.
$$ \text{Result} = 99 \times \frac{2}{9} $$
- Perform the multiplication
To simplify the multiplication, we can divide 99 by 9 first:
$$ 99 \div 9 = 11 $$
Now we multiply:
$$ 11 \times 2 = 22 $$
The final answer is ( 22 ).
More Information
The answer ( 22 ) represents the part of 99 that corresponds to the 2 parts of the ratio 2:7, out of a total of 9 parts. The operation can be visualized as distributing 99 into 9 equal parts, and then taking 2 of those parts.
Tips
Common mistakes include:
- Forgetting to convert the ratio to a fraction before multiplication.
- Not simplifying the division before performing the final multiplication.
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