To understand proportions when dealing with ratios, follow these simple steps:
Find the Ratios: Look for how the amounts relate to each other. For example, if a recipe needs 2 cups of flour for every 3 cups of sugar, the ratio is 2:3.
Set Up Proportions: Use the ratios you found to make equations. If we want to make a smaller batch, we might write it like this: 2/3 = x/y.
Cross-Multiply: To find the unknown numbers, use cross-multiplication. This means you’ll do 2 times y = 3 times x (2y = 3x).
Solve for the Variable: Rearrange the equation and solve for the number you need.
By practicing with different problems, you’ll get better at working with proportions!
To understand proportions when dealing with ratios, follow these simple steps:
Find the Ratios: Look for how the amounts relate to each other. For example, if a recipe needs 2 cups of flour for every 3 cups of sugar, the ratio is 2:3.
Set Up Proportions: Use the ratios you found to make equations. If we want to make a smaller batch, we might write it like this: 2/3 = x/y.
Cross-Multiply: To find the unknown numbers, use cross-multiplication. This means you’ll do 2 times y = 3 times x (2y = 3x).
Solve for the Variable: Rearrange the equation and solve for the number you need.
By practicing with different problems, you’ll get better at working with proportions!