Question

Tyler made 9 1/2 cups of lemonade. He offers 3/4-cup servings of lemonade to some relatives at a family pinic. What is the GREATEST amount of relatives Tyler can offer lemonade to?

A) 7
B) 9
C) 12
D) 13

Answer 1

Divide the total portion (9 1/2 cups) by the portion size (3/4 cup).

=9 1/2 ÷ 3/4
convert 9 1/2 to improper fraction

=19/2 ÷ 3/4
to divide fractions, multiply by the reciprocal/inverse of 3/4

=19/2 * 4/3
multiply numerators; multiply denominators

=(19*4)/(2*3)

=76/6

=12.666666


ANSWER: The greatest number he can offer servings to is C) 12

Hope this helps! :)

Answer 2

$9 \dfrac{1}{2} \div \dfrac{3}{4} = \dfrac{19}{2} \times \dfrac{4}{3} = \dfrac{38}{3} = 12 \dfrac{2}{3}$

Answer: Tyler can offers up to 12 serving of lemonade to 12 relatives.