Tape Diagram Ratios

Front

What is a ratio?

Back

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

Front

How do you simplify a ratio?

Back

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

Front

If a ratio is 3:4, what does it mean?

Back

It means for every 3 parts of the first quantity, there are 4 parts of the second quantity.

Front

How do you find the total parts in a ratio of 3:4?

Back

Add the parts together: 3 + 4 = 7 total parts.

Front

If Nancy received $48 in a 3:4 ratio with Taylor, how do you find Taylor's amount?

Back

Set up the equation: 4x = 48, where x is the value of one part. Solve for x, then calculate 3x.

Front

What is the formula to find a missing value in a ratio?

Back

If you know one part and the total ratio, use cross-multiplication to find the missing value.

Front

In a ratio of 4:3, if the height is 36 cm, how do you find the width?

Back

Set up the proportion: 4/3 = 36/x. Cross-multiply and solve for x.

Front

What does it mean if the ratio of girls to boys is 7:3?

Back

It means for every 7 girls, there are 3 boys.

Front

How do you calculate the number of boys if there are 77 girls in a 7:3 ratio?

Back

Set up the proportion: 7/3 = 77/x. Cross-multiply and solve for x.

Front

If Hailey used 36 ounces of cereal in a 2:5 ratio, how do you find the dried fruit amount?

Back

Set up the proportion: 2/5 = 36/x. Cross-multiply and solve for x.