How do solve this problem 2/3 (2/8 + 4/8) =

Mathematics

2 answers:

scoundrel [369]3 years ago

6 0

Answer:

1/2

Step-by-step explanation:

2/3 (2/8 + 4/8) =

First simplify what is inside the parentheses

2/8+4/8 = 6/8

Replace with 6/8

2/3 (6/8) =

Then multiply

2*6 =12

3*8 = 24

12/24

Divide top and bottom by 12

1/2

Aneli [31]3 years ago

5 0

In PEMDAS, you do what is in the parentheses first, therefore you solve (2/8 +4/8) first. You would end up with 6/8. Now you multiply 2/3 by 6/8. 2/3*6/8= 1/2 or .5. Hope this helps.

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3 years ago

The speed of the current in a creek is 5 mph. A person clan kayak 3 mi upstream in the same time that it takes him to kayak 13 m

Brut [27]

Answer:

Step-by-step explanation:

0) the basic formula is: L=v*t, where L - distance, v - speed/velocity; t - time;

1) if the person's speed in still water is 'v' and the speed of water is 5 (according to the condition), then the upstream speed is 'v-5' and the downstream speed is 'v+5';

2) according to the condition the upstream time and the downstream time are the same, it means t₁=t₂=t, where t₁=upstream time and t₂=downstream time;

3) according to the items above it is possible to make up the equation of the upstream travel: t(v-5)=3; ⇒ t=3/(v-5);

4) according to the items above it is possible to make up the equation of the downstream travel: t(v+5)=13; ⇒ t=13/(v+5);

5) if t=3/(v-5) and t=13/(v+5), then

$\frac{3}{v-5} =\frac{13}{v+5}; \ => \ v=8.$