How does one solve these: 1) .25 < ? / 12 < .5 2) 25% < ? < 75% = ?/4 3) 1/4 < ?/8 < 50%

Question:

How does one solve these:

1) .25 < ? / 12 < .5

2) 25% < ? < 75% = ?/4

3) 1/4 < ?/8 < 50%

Decimals, Fractions, and Percentages:

In mathematics, certain numbers can be expressed equivalently as decimals, fractions, or percentages. Each format can be useful for different purposes, and these can all be compared.

To solve these comparisons, find the equal basis for comparison and then identify the missing number. In the first problem, .25 is one quarter (1/4) or 3/12. .5 is one half (1/2) or 6/12. Therefore either four or five could be the numerator. In the second problem, any number between 25% and 75% would fit, such as 50%. 50% = 2/4, while 25% and 75% equal 1/4 and 3/4, respectively. In the third problem, 1/4 = 2/8, and 50% = 4/8. Therefore, the answer would be 3.

Equivalent Ratios: Definition & Examples

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Chapter 23 / Lesson 18
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Learn about equivalent ratios, including the equivalent ratios definition and examples. Learn how to find equivalent ratios and where to put these skills into use.