Math Problem Statement
how to work out the ratio between 3 parts
Solution
To work out the ratio between three parts, follow these steps:
Example Problem:
Imagine you have three values:
- Part 1 = 6
- Part 2 = 9
- Part 3 = 15
Step-by-Step Process:
-
Find the greatest common divisor (GCD): First, find the GCD of the three values. In this case, the GCD of 6, 9, and 15 is 3.
-
Divide each part by the GCD: Now, divide each part by the GCD to simplify the ratio.
- 6 ÷ 3 = 2
- 9 ÷ 3 = 3
- 15 ÷ 3 = 5
-
Write the ratio: The ratio between the three parts is 2:3:5.
This is the simplest form of the ratio between the three parts.
Tip:
Always check if the numbers can be further simplified by dividing by the greatest common divisor.
Do you want further details or have any questions on this process?
Related Questions:
- How do you find the GCD of three numbers?
- How can you express a ratio in decimal form?
- What are some real-world examples where ratios are used?
- How do you scale a ratio when increasing or decreasing quantities?
- What is the difference between a ratio and a proportion?
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Math Problem Analysis
Mathematical Concepts
Ratios
Simplification
Greatest Common Divisor (GCD)
Formulas
GCD Formula
Ratio Simplification Formula
Theorems
Greatest Common Divisor Theorem
Suitable Grade Level
Grades 5-7