Simplifying ratios is like simplifying fractions – you're trying to find the smallest whole numbers that represent the same relationship. A ratio compares two or more quantities. To simplify a ratio, you divide each part of the ratio by their greatest common factor (GCF). This gives you an equivalent ratio in its simplest form. For example, the ratio 6:8 can be simplified to 3:4 by dividing both sides by 2.
Think of it as making sure your recipe uses the smallest possible measuring cups while keeping the flavor the same! 🧑🍳
Match the term with its definition:
| Term | Definition |
|---|---|
| 1. Ratio | A. The simplest form of a ratio |
| 2. Simplify | B. Compares two or more quantities |
| 3. Equivalent Ratio | C. To reduce a ratio to its smallest whole number values |
| 4. Greatest Common Factor (GCF) | D. Ratios that represent the same relationship |
| 5. Simplest Form | E. The largest number that divides evenly into two or more numbers |
(Match the numbers to the letters!)
Complete the sentences using the words from the word bank:
Word Bank: quantities, simplest, GCF, ratio, equivalent
A _______ compares two or more _______. To simplify a ratio, you divide each part by the _______. The resulting _______ is in its _______ form.
Imagine you are making orange juice from concentrate. The directions say to mix 1 can of concentrate with 3 cans of water. If you want to make a larger batch using 2 cans of concentrate, how many cans of water will you need to maintain the same ratio? Explain your reasoning.
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