Lesson 11, Topic 1
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# Proportion

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A proportion is a statement or equation that tells us that two ratios or fractions are equivalent. Proportion is a comparison between two numbers, things or people. For example, you want to know the number of boys there are in comparison to the number of girls in a room. This comparison is written in the form of a proportion. This can be written in the colon or you can write the proportion in the form of an equivalent fraction as follows

5:10 or $$\frac{5}{10} =\frac{1}{2}$$ are equivalent fractions.

Since $$\frac{5}{10} =\frac{1}{2}\\ \scriptsize cross \; multiply \\ \scriptsize 5 \; \times \; 2 =1 \; \times \; 10\\ \scriptsize 10 = 10$$

Therefore, they are equivalent fractions.

There are two types:

1. Direct proportion

2. Indirect (inverse) proportion

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