ratio
A ratio is a way of comparing two or more quantities
A ratio is a way of comparing two or more quantities. It represents the relationship between the quantities in terms of their relative sizes or amounts. Ratios can be expressed in the form of a fraction, using a colon, or as a decimal.
In a ratio, the quantities being compared are usually of the same type, such as measurements, amounts, or values. For example, a ratio can compare the number of boys to the number of girls in a class, the amount of sugar to the amount of flour in a recipe, or the length of one side of a shape to the length of another side.
To understand ratios better, let’s use an example. Suppose you have a basket of fruits containing 4 apples and 6 oranges. The ratio of apples to oranges is 4:6 or 4/6. This ratio can be simplified further by dividing both numbers by their greatest common divisor, which in this case is 2. So, the simplified ratio is 2:3 or 2/3.
Ratios can also be expressed as decimals or percentages. To convert a ratio to a decimal, divide the first quantity by the second quantity. Using our example ratio of 2:3, dividing 2 by 3 gives us 0.6667 (rounded to four decimal places). To convert this to a percentage, multiply the decimal by 100. So, 0.6667 multiplied by 100 equals 66.67%. Therefore, the ratio 2:3 can also be expressed as 66.67%.
Ratios are commonly used in various mathematical concepts, such as proportion, rates, and percentages. They help us understand and compare quantities in a meaningful way. It is important to be able to interpret and work with ratios, as they can be found in many real-life situations, from cooking recipes to financial calculations, and even in geometric applications.
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