Ratio and Proportion Cheat Sheet 1. Writing a Ratio: a. The quantity written first is the numerator b. The word “to” separates the quantities c. The quantity written second is the denominator d. Always write in lowest terms, and always as a fraction Example: Write the ratio of 60 days of sun to 20 days of rain. e. Ratios are written with ...

Order of Operations Cheat Sheet There is a specific order in which math problems should be worked out. It is called the “order of operations.” If you do not work math problems in the correct order, you probably will get the wrong answer. It is like a step-by-step recipe to work out a math problem that will lead you to the correct answer.

Ratio is used to compare the quantities having the same units. It is represented by ‘:’. Proportion is used to represent the relationship between ratios. It is represented by ‘::’. Let’s assume two fractions are $$\frac {P} {Q}$$ and $$\frac {R} {S}$$. So it can be represented as P:Q and R:S. P:Q :: R:S. $$\frac {P} {Q} = \frac {R} {S}$$

ratio–A comparison of two numbers or quantities. They are measured in the same or similar units. Example: If the ratio of adults to children is 2 to 5, then there are two adults for every 5 children. So, if there are 50 children in attendance, then there are 20 adults.

Direct Proportion is when both values increase at the same rate. Example 1: The cost of the vegetables is directly proportional to weight. The more the weight of the vegetables, the more …

Ratios and Proportions A ratio is a relationship between two numbers. It indicates how many of the first number is included in the second number. Ratios can be written in three different ways: words, fractional notation, and colon notation. Example: A recipe calls for 1 cup of milk to 3 cups of flour. Words: 1 to 3 Fractional Notation:

RATIO & PROPORTION A RATIO is a comparison between two quantities. We use ratios everyday; one Pepsi costs 50 cents describes a ratio. On a map, the legend might tell us one inch is equivalent to 50 miles or we might notice one hand has five fingers. Those are all examples of comparisons – ratios. A ratio can be written three different ways.

In this chapter, you will learn how ratios, and per-cents which are a special type of ratio, are used in many everyday problems. A ratio, which is a comparison of two numbers by division, is the quotient obtained when the first number is divided by the second, nonzero number.