Part to Whole Flashcard

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you calculate the total number of students if you know the percentage and the number of students that represent that percentage?

Back

Divide the number of students by the percentage (in decimal form) to find the total. For example, if 80% of students love proportions and 520 students love them, the total is 520 / 0.8 = 650.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you find the ratio of a part to the whole?

Back

Divide the part by the whole and simplify if necessary. For example, if there are 5 pears out of 11 total fruits, the ratio is 5:11.

Front

What is 75% of a number?

Back

To find 75% of a number, multiply the number by 0.75. For example, 75% of 32 is 32 * 0.75 = 24.

Front

What does it mean if a group represents a certain percentage of a total?

Back

It means that the number of individuals in that group is a fraction of the total number, expressed as a percentage.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide by 100. For example, 75% becomes 0.75.

Front

What is the formula to find the total from a part and its percentage?

Back

Total = Part / (Percentage in decimal form). For example, if 75 students represent 5%, then Total = 75 / 0.05 = 1500.

Front

What is the ratio of boys to girls if there are 13 boys and 10 girls?

Back

The ratio of boys to girls is 13:10.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both sides by their greatest common divisor (GCD). For example, the ratio 4:8 simplifies to 1:2.