Usually expressed as a fraction, this is a way of showing the relative size of two numbers. For example, when [tex]\frac{24}{30}[/tex] is written as [tex]\frac{4}{5}[/tex], it means 24 has as many groups of 4 as 30 has groups of 5. What is this concept called?

The student is asking about simplifying fractions, which allows us to express the relative size of two numbers. Simplifying fractions involves finding the greatest common divisor and is a fundamental skill in math that also relates to understanding ratios, proportions, percentages, and unit rates.

Explanation:

The subject of the question is related to understanding the concept of expressing the relative size of two numbers with the use of a fraction or a ratio. When the question notes that 24/30 is written as 4/5, it explains that the number 24 contains as many groups of 4 as the number 30 contains groups of 5. This is an example of simplifying a fraction by finding the greatest common divisor and dividing both the numerator and denominator by it, which is an essential skill in mathematics.

Fractions represent a part of a whole and are composed of a numerator and a denominator. Ratios, which can also be expressed as fractions or percentages, show the relative sizes or quantities compared to another, such as 2:1 or 4:3. A percent is a special type of ratio where the denominator is 100, commonly used in calculations involving percentages.

Proportions, unit rates, and unit scales are related concepts in mathematics that involve ratios and fractions. A proportion is an equation stating that two ratios are equivalent, and a unit rate compares two measurements with one of them being a single unit. A unit scale is especially useful in real-life applications like reading maps where it compares actual object dimensions to model dimensions.

nandhini123 nandhini123 · Answer 2 · 2025-04-01T14:45:05-04:00

Answer:

The answer is "ratio"

Explanation:

Ratio is the quantitative relationship between the two figure that depicts that how many times that one figure is there in the another one. In order to get the ratio usually we multiply or divide the that term in the ratio by the same number. In case let us take an example if we divide the terms in the ratio 2:4 by the number 2, then we will able to get a number of or the equal ratio of 1:2. We can also say that it is comparison between the numbers.