# 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.

## Answer and Explanation:

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.

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