Question

A catering company needs 8.75 lbs of shrimp for a small party. They buy 3 2/3 lbs of jumbo shrimp, 2 5/8 lbs of medium-sized shrimp, and some mini-shrimp. How many pounds of mini shrimp do the buy?

Answer 1

8.75 - (3 2/3 + 2 5/8) 
8.75 - (11/3 + 21/8)
8.75 - (88/24 + 63/24)
8.75 - 151/24
210/24 - 151/24
59/24 = 2 11/24 lbs of mini shrimp <==

Answer 2

The catering company bought $\boxed {2\frac{11}{24} }$ lbs of mini shrimp

Further Explanation

Given:

The total shrimp needed is 8.75 lbs

Jumbo shrimp = 3²/₃

Medium-sized shrimp = 2⁵/₈

Question:

How many pounds of mini shrimp do they buy?

The total shrimp needed is 8.75 lbs, we can change this decimal number into fraction:

$\boxed {8.75 = 8\frac{75}{100} = 8 \frac{3}{4} }$

The total mini shrimp they buy:

$\boxed {= 8\frac{3}{4} - 3\frac{2}{3} - 2\frac{5}{8} }$

we can change them to proper fraction as below

$\boxed { \frac{35}{4} - \frac{11}{3} - \frac{21}{8} }$

Because the denominator is different, we need to find the common denominator for 4, 3 and 8, which is 24

$\boxed {= \frac{210-88-63}{24} }\\\boxed {=\frac{59}{24} } \\\boxed {=2\frac{11}{24} }$

So, the mini shrimp bought is $\boxed {2\frac{11}{24} }$ lbs

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Keyword: fraction, additional fraction, mixed fraction, proper fraction