Question

Jacob mixes 1/3 cup of yellow paint for every 1/5 cup of blue paint ? How many cups of yellow paint are needed for 1 cup of blue paint. Complete table below

Answer 1

1 2/3 cups of yellow paint.

Explanation:

1/3 cup yellow paint for every 1/5 cup blue paint

x cup yellow paint needed for 1 cup blue paint

(1/3)/x = (1/5)/1 (cross multiply)

1/3 * 1 = 1/5x

(1/3)/(1/5) = 5/3 = 1 2/3

Answer 2

Answer: 5/3 cup of yellow

This converts to the mixed number 1 & 2/3 cup

Explanation

The ratio of yellow to blue is 1/3 : 1/5 in that order. Multiply both parts by 5 so that the 1/5 turns into 1.

(1/3)*5 = 5/3

(1/5)*5 = 1

The ratio 1/3 : 1/5 scales up to the equivalent form 5/3 : 1 to signal that 5/3 cups of yellow paint pair up with 1 cup of blue paint.

Here are the steps to follow if you want to convert the improper fraction into a mixed number.

5/3 = (3+2)/3

5/3 = (3/3) + (2/3)

5/3 = 1 + (2/3)

5/3 = 1 & 2/3

It tells us we need 1 full cup of yellow paint, and an additional 2/3 of a cup of yellow paint.

Notice how 5/3 = 1 remainder 2 when using long division. The "remainder 2" is the numerator of the fractional part.