Math Problem Statement
Find an equivalent ratio in simplest terms: 36, colon, 99 36:99
Solution
To simplify the ratio , we need to find the greatest common divisor (GCD) of 36 and 99, and divide both numbers by this GCD.
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Find the GCD of 36 and 99:
- The factors of 36 are:
- The factors of 99 are:
- The greatest common divisor is .
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Divide both numbers by 9:
Thus, the simplified ratio is:
Would you like further details on how to find the GCD or any other clarifications?
Here are 5 related questions:
- What is the process for finding the GCD of two numbers?
- Can you simplify the ratio ?
- How do you express a ratio as a fraction?
- What are some real-life applications of ratios?
- How do you convert a ratio into a percentage?
Tip: Always divide a ratio by the GCD to ensure it is in its simplest form.
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Math Problem Analysis
Mathematical Concepts
Ratios
Simplification
Greatest Common Divisor (GCD)
Formulas
Simplified Ratio = (a / GCD) : (b / GCD)
Theorems
Euclidean algorithm for finding GCD
Suitable Grade Level
Grades 6-8