Question

You want to make a recipe that calls for 2/3 of a cup of flour, but you only have 1/2 of a cup of flour left. Assuming you have 2 enough of the other ingredients, what fraction of the recipe can you make?

Make math drawings to help you solve this problem. Explain your answer, attending carefully to the unit amount that each fraction is of.

Answer 1

With 1/2 cup of flour, you can make 3/4 of the recipe. This is determined by dividing 1/2 by 2/3, resulting in 3/4 after fraction multiplication.

Step-by-step explanation:

If a recipe calls for 2/3 cup of flour, and you only have 1/2 cup available, you need to determine what portion of the recipe you can make with the flour you have. To find out, you compare the fraction of flour you have to the total fraction required by using a simple division.

Dividing your fraction of flour by the total fraction needed gives:

• 1/2 cup flour (what you have) ÷ 2/3 cup flour (what you need)

To divide fractions, you invert the divisor (2/3) and multiply:

• 1/2 × 3/2 = 3/4

So, with 1/2 cup of flour, you can make 3/4 of the recipe. This means you have enough flour to make three-fourths of the pancakes, given the rest of the ingredients are adjusted accordingly.