At the candy store, Sophie filled a bag with 2\dfrac232 3 2 ​ 2, start fraction, 2, divided by, 3, end fraction kilograms of candy. \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction of the weight of the candy was from chocolate covered pretzels.

Respuesta :

Answer:

[tex]Chocolate\ Weight = \frac{2}{3}kg[/tex]

Step-by-step explanation:

Given

[tex]Candies =2\frac{2}{3}\ kg[/tex]

[tex]Chocolate = \frac{1}{4}[/tex] of the candies

Required

Determine the weight of the chocolate pretzels ---- This completes your question

To determine the weight, we simply multiply the fraction of chocolates by the total weight of the candies.

i.e.

[tex]Chocolate\ Weight = \frac{1}{4} * 2\frac{2}{3}[/tex]

Convert Fraction

[tex]Chocolate\ Weight = \frac{1}{4} * \frac{8}{3}[/tex]

[tex]Chocolate\ Weight = \frac{1 * 8}{4 * 3}[/tex]

[tex]Chocolate\ Weight = \frac{8}{12}[/tex]

Simplify

[tex]Chocolate\ Weight = \frac{2}{3}kg[/tex]