Simplifying Ratios and Solving Equations

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 simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is the simplest form of the ratio 10:13?

Back

10:13 is already in its simplest form.

Front

If a barrel leaks 5 gallons every 3 days, how many gallons leak in 1 day?

Back

1.67 gallons leak in 1 day.

Front

How many days will it take for 60 gallons to leak out at a rate of 5 gallons every 3 days?

Back

It will take 36 days.

Front

What is the ratio of 12 CDs to 4 tapes in simplest form?

Back

The simplest form is 3:1.

Front

What is the ratio of female teachers to male teachers if there are 5 female and 13 male teachers?

Back

The ratio is 5:13.

Front

How do you solve the equation 5/15 = 25/n?

Back

Cross-multiply to get 5n = 375, then n = 75.

Front

What does it mean to cross-multiply in equations?

Back

Cross-multiplying means multiplying the numerator of one fraction by the denominator of the other and vice versa.

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides two or more numbers without leaving a remainder.