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 express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

Front

If the ratio of height to width of a rectangle is 4:3 and the height is 36 cm, how do you find the width?

Back

Use the ratio to set up a proportion: 4/3 = 36/x. Cross-multiply and solve for x to find the width.

Front

What is the total number of items when sharing in a ratio?

Back

To find the total number of items shared in a ratio, add the parts of the ratio together and multiply by the value of one part.

Front

If Diego has 56 sports cards and shares them with Troy in a ratio of 3:7, how do you find the total number of cards?

Back

First, find the total parts: 3 + 7 = 10. Then, find the value of one part: 56/7 = 8. Finally, multiply by total parts: 10 * 8 = 80.

Front

What does it mean if two quantities are in a ratio of 2:5?

Back

It means for every 2 units of the first quantity, there are 5 units of the second quantity.

Front

How do you find the amount of one part in a ratio if you know the total amount?

Back

Divide the total amount by the sum of the parts in the ratio.

Front

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

Back

Set up the ratio: 4 parts = $48. Find the value of one part: $48/4 = $12. Then, multiply by Taylor's parts: 3 * $12 = $36.

Front

What is a tape diagram?

Back

A tape diagram is a visual representation of ratios and fractions using rectangles to show the parts of a whole.

Front

How can tape diagrams help in solving ratio problems?

Back

Tape diagrams help visualize the relationship between quantities, making it easier to understand and solve ratio problems.