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# Math homework, I need help and please explain.

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1) What is 1 2/3 of 1 1/4?

solution:

2) What is N equal to if N x 3/8 = 5/3?

solution:

3) How many 1/8 are there in 2 3/4?

solution:

4) A bag of peanuts has a mass of 2 ½ kg. The mass of cashew nuts is 2/5 that of the peanuts. The nuts are mixed together and packed into 8 packets. What is the mass of each packet?

hey, it's due today and my teacher, I can't really ask her to help me out. maybe someone could at least? pretty please.

Feb 1, 2022

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1) $$1 \frac{2}{3} \cdot 1 \frac{1}{4} = \frac{5}{3} \cdot \frac{5}{4} = \boxed{\frac{25}{12} = 2 \frac{1}{12}}$$

2) $$N \cdot \frac{3}{8} = \frac{5}{3}$$

To isolate N, multiply both sides by the reciprical of 3/8, which is 8/3.

$$N = \frac{5}{3} \cdot \frac{8}{3} = \boxed{\frac{40}{9}}$$

3) $$2 \frac{3}{4} \div \frac{1}{8} = 2 \frac{3}{4} \cdot 8 = \frac{11}{4} \cdot 8 = \boxed{22}$$

4) $$\text{cashew nuts mass}= \frac{2}{5} \cdot 2 \frac{1}{2} = \frac{2}{5} \cdot \frac{5}{2} = 1$$

$$\text{total mass} = 2 \frac{1}{2} + 1 = 3 \frac{1}{2} = \frac{7}{2}$$

$$\text{mass per packet} = \frac{7/2}{8} = \boxed{\frac{7}{16}}$$

Feb 1, 2022