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Set up a proportion. 4 3/4 cup broth is to 10 servings as x cups broth is to 1 serving soup.

x= amount of broth in one serving

(4 3/4)/10= x/1
cross multiply

(4 3/4)(1)= 10x
convert 4 3/4 to improper fraction

(19/4)(1)= 10x

19/4= 10x
divide both sides by 10

19/4 ÷ 10= x
to divide fractions, multiply by reciprocal of 10

19/4 * 1/10= x
multiply numerators; multiply denominators

(19*1)/(4*10)= x

19/40 cup= x


ANSWER: 19/40 cup in one serving

Hope this helps! :)

Hence if a chef uses [tex]4 \frac{3}{4}[/tex] cups of broth for 10 servings of soup. then broth is used in one serving of soup is 19/40 cups .

What is fraction ?

Fraction is way of writing a part of a whole number

Here given that a chef uses [tex]4 \frac{3}{4}[/tex]cups of broth for 10 servings of soup.

We can write [tex]4 \frac{3}{4}[/tex] as

[tex]\frac{4\times4+3}{4}\\ \\\frac{19}{4}[/tex]

Let broth is used in one serving of soup= x

Now broth used in one serving of soup can be calculated as

[tex]\frac{19}{4} = 10x\\\\x= \frac{19}{40}[/tex]

Hence if a chef uses [tex]4 \frac{3}{4}[/tex] cups of broth for 10 servings of soup. then broth is used in one serving of soup is 19/40 cups .

To learn more about fraction visit : https://brainly.com/question/78672

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