Question

Can someone help me really please really need help please don't understand

Answer 1

9514 1404 393

Answer:

1. 2/8
2. 3/5

Explanation:

1. The denominator of a fraction indicates how many (equal) pieces a quantity is divided into. When that quantity is 1 cake, and it is divided into 8 equal pieces, each piece is 1/8 of the cake, and there are 8 pieces, or 8/8 of the cake altogether. 8/8 = 1 entire.

When 2/8 of the cake is eaten, there are 8-2 = 6 pieces left, or 6/8 of the cake remains.

When an additional 4/8 of the cake is eaten, there are 6-4 = 2 pieces left, or 2/8 of the cake remains.

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The fraction 2/8 can be written as the product of fractions ...

`(2)/(8)=(1\cdot2)/(4\cdot2)=(1)/(4)\cdot(2)/(2)`

We know that 2/2 = 1, and anything times 1 is that same thing, so the fraction 2/8 can be "reduced" to its equivalent, 1/4.

`(2)/(8)=(1)/(4)\cdot1=(1)/(4)`

As far as we can tell, this question does not ask you to reduce the fraction. Since we're counting 1/8 cake slices, and there are 2 remaining, it is reasonable to leave the fraction as 2/8.

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2. The given fractions are 1/5 pound, so it is reasonable to think of the whole weight of the 1-pound box as 5/5 pound. Two parts are 1/5 pound each, so the part remaining after considering those is ...

5/5 - 1/5 - 1/5 = (5 -1 -1)/5 = 3/5

The third item in the box is 3/5 pound.