Bill used 3/8 cup of raisins and 2/3 cup of banana chips to make his snack. His brother asked if he used more raisins or banana chips in his snack which statement correctly compares the fractions

Respuesta :

Answer:

Bill used more banana chips in his snack as compared to raisins.

Step-by-step explanation:

We are given the following in the question:

Cups of raisin used = [tex]\frac{3}{8}\text{ cups}[/tex]

Cups of banana chips used = [tex]\frac{2}{3}\text{ cups}[/tex]

Comparing the amount of banana chips and raisins:

[tex]\dfrac{3}{8}\text{ and }\dfrac{2}{3}\\\\\text{Taking 24 as the LCM}\\\\\Rightarrow \dfrac{9}{24}\text{ and }\dfrac{16}{24}\\\\\Rightarrow \dfrac{9}{24} < \dfrac{16}{24}\\\\\Rightarrow \dfrac{3}{8} < \dfrac{2}{3}[/tex]

Thus, Bill used more banana chips in his snack as compared to raisins.