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Do the ratios 9:6 and 5:4 form a proportion? yes no

Ask by Campos Coles. in the United States
Mar 04,2025

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Answer

No, the ratios 9:6 and 5:4 do not form a proportion.

Solution

To determine if two ratios form a proportion, we need to check if they are equal. The ratio 9:6 can be written as 9/6, which simplifies to 3/2 (or 1.5). The ratio 5:4 can be written as 5/4 (or 1.25). Since 1.5 is not equal to 1.25, the ratios do not form a proportion. Answer: no.

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To determine if the ratios 9:6 and 5:4 form a proportion, we can cross-multiply. This means we multiply the numerator of the first ratio by the denominator of the second ratio and the denominator of the first by the numerator of the second. So, we calculate 9 * 4 and 6 * 5, which gives us 36 and 30, respectively. Since 36 does not equal 30, the ratios do not form a proportion. This is a neat application of cross-multiplication! It really comes in handy—not just in math class but in real life too, like when you're trying to resize a recipe or scale a project. Remember, proportions help maintain equality, which is super useful in everything from cooking to crafting to classroom experiments!

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