Terri buys five and seven eighths ounces of chocolate chips. She uses four and four sixths ounces in a recipe. How many ounces of chocolate chips does she have left?

a one and ten forty eighths ounces
b one and three fourteenths ounces
c two and ten forty eighths ounces
d two and three fourteenths ounces

Respuesta :

Answer:

(A) [tex]1\frac{10}{48}[/tex]

Step-by-step explanation:

To find how many chocolate chips are left, you have to subtract the amount used for the recipe from the original amount which is:

[tex]5\frac{7}{8} -4\frac{4}{6}[/tex]

To subtract the two mixed numbers, first you have to convert them to improper fractions which would make the expression:

[tex]\frac{47}{8}-\frac{28}{6}[/tex]

Then, in order to subtract the two improper fractions, since they have different denominators, you have to make them have the same denominator. The LCM (Least Common Multiple) of 8 and 6 is 24, so to subtract the two fractions, you need both of them to have a denominator of 24. That would make the expression:

[tex]\frac{141}{24}-\frac{112}{24}[/tex]

To subtract these two fractions, since they have the same denominators, you can subtract the numerators and keep the denominators. That would make the answer:

[tex]\frac{29}{24}[/tex] which is, as a mixed number, [tex]1\frac{5}{24}[/tex], which is [tex]1\frac{10}{48}[/tex].

Hope this helps :)