Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, often written as a/b = c/d.

Front

How do you find the total number of items when given a percentage?

Back

To find the total number of items when given a percentage, divide the number of items by the percentage (in decimal form) and multiply by 100.

Front

How do you convert miles to kilometers?

Back

To convert miles to kilometers, multiply the number of miles by 1.6.

Front

What is the formula to calculate the distance traveled at a constant speed?

Back

Distance = Speed × Time.

Front

How do you calculate the percentage of a part compared to a whole?

Back

To calculate the percentage of a part compared to a whole, divide the part by the whole and multiply by 100.

Front

What is the relationship between gallons and miles in terms of fuel consumption?

Back

The relationship can be expressed as miles per gallon (mpg), indicating how many miles a vehicle can travel on one gallon of fuel.

Front

How do you find a percentage of a number?

Back

To find a percentage of a number, multiply the number by the percentage (in decimal form).

Front

What is the significance of converting units in word problems?

Back

Converting units is crucial in word problems to ensure that all measurements are in the same system, allowing for accurate calculations.

Front

How do you solve for an unknown in a percentage equation?

Back

To solve for an unknown in a percentage equation, set up the equation based on the percentage relationship and solve for the unknown variable.