A recipe calls for #2 1/2# cups of sugar. You have #2 1/3# cups of sugar Do you have enough sugar? If not, how much more sugar is needed?

Question

Jeremiah Andrews · Accepted Answer

#" not enough require another " 1/6" cup"#

Before we can compare these #color(blue)"mixed numbers"# we need to change them to #color(blue)"improper fractions"#

#rArr2 1/2=5/2" and " 2 1/3=7/3#

To compare the fractions # 5/2" and " 7/3# we require them to have a #color(blue)"common denominator"#

The lowest common denominator of 2 and 3 is 6 so we have to convert them into fractions with a denominator of 6

#rArr5/2=(5xx3)/(2xx3)=15/6" and " 7/3=(7xx2)/(3xx2)=14/6#

#" Now" 14/6<15/6" thus there is not enough sugar"#

#"amount of sugar needed " =15/6-14/6=1/6" of a cup"#

Roman Alvarez · Answer

undefined To determine if you have enough sugar for the recipe, you need to compare the amount you have with the amount required.

The recipe calls for $2 \frac{1}{2}$ cups of sugar, which is equivalent to $2.5$ cups.

You have $2 \frac{1}{3}$ cups of sugar, which is equivalent to approximately $2.33$ cups.

Since $2.33 < 2.5$, you do not have enough sugar for the recipe.

To find out how much more sugar you need, subtract the amount you have from the amount required:

$$2.5 - 2.33 = 0.17$$ cups.

So, you need $0.17$ cups more sugar to meet the recipe requirements.