Briana has 4 1/2 cups of oats. She uses 2 1/4 cups of oats to make oatmeal- raisins cookies, then borrow 1 cup of oats from her neighbor. Her recipe for granola calls 2 1/2 cups of oats. Does she have enough? How much will she have left over, or how much more will she need?

Respuesta :

Answer:

She has enough with [tex]\frac{3}{4}[/tex] cups left over.

Step-by-step explanation:

For this equation, it's probably easiest to use improper fractions.

At the start, she has 4[tex]\frac{1}{2}[/tex] cups, or [tex]\frac{9}{2}[/tex], which can be converted to [tex]\frac{18}{4}[/tex] (which is useful for the next part) by multiplying the numerator and denominator by 2.

When she uses 2[tex]\frac{1}{4}[/tex] cups, which can be converted to [tex]\frac{9}{4}[/tex]. When subtracting this from the original, you get [tex]\frac{18}{4}[/tex]-[tex]\frac{9}{4}[/tex]=[tex]\frac{9}{4}[/tex].

She borrows another cup, or [tex]\frac{4}{4}[/tex] of a cup, which gets added on to the previous result, giving [tex]\frac{9}{4}[/tex]+ [tex]\frac{4}{4}[/tex]=[tex]\frac{13}{4}[/tex].

The recipe calls for 2[tex]\frac{1}{2}[/tex] cups, which can be converted to [tex]\frac{5}{2}[/tex] or [tex]\frac{10}{4}[/tex].

[tex]\frac{13}{4}[/tex]-[tex]\frac{10}{4}[/tex]=[tex]\frac{3}{4}[/tex], meaning she has [tex]\frac{3}{4}[/tex] cups left over.

** solving this mainly uses conversion to improper fractions and adding/subtracting fractions, which may be skills you would like to practice. I'm always happy to help!