A chef has a five and five eighths pound beef filet. She slices the filet into 8-ounce steaks (fraction). How many pounds is each steak? How many 8-ounce steaks can the chef create from the filet?(16oz=1pound)

Respuesta :

A chef has a five and five-eighths pound beef filet.

She slices the filet into 8-ounce steaks.

How many pounds is each steak?

We simply need to convert 8-ounce into pounds.

Since 16 oz = 1 pound then

8/16 = 1/2 pounds

Therefore, each steak is 1/2 pounds.

How many 8-ounce steaks can the chef create from the filet?

First, we have to convert five and five-eighths pounds into ounces

[tex]5\frac{5}{8}=\frac{(5\cdot8)+5}{8}=\frac{40+5}{8}=\frac{45}{8}[/tex]

Since 1 pound = 16 oz then

[tex]\frac{45}{8}\times16=45\times2=90[/tex]

So there are 90 oz in five and five-eighths pounds.

Finally, we can divide the 90 oz by 8-ounces to get the number of steaks.

[tex]\frac{90}{8}=\frac{45}{4}=11\frac{1}{4}[/tex]

Which means that she can make 11 steaks of 8-ounces.

The leftover meat is 1/4

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