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ss7ja [257]
3 years ago
14

Divide the following fractions and reduce to lowest terms 2/3 divided by 4/5

Mathematics
1 answer:
pshichka [43]3 years ago
5 0
Well to divide 2 fraction you first have to find a least common number between the 2 bottom numbers in the fractions, we know automaticall that 15 fits in both the 3 and the 5. now u have to find out what to multiply by each number to get 15, for example what number do you multiply by 3 to get 15?? well it will be 5, so go ahead and multiply it by the fraction (note that what you do  in the bottom you have to do in the top) this will give you 10/15, because I multiplied the top and bottom number by 5... lets try the other one what number do you multiply by 5 to get 15?? well it will be 3 so go ahead and multiply that to get 12/15.. now add the top numbers (note that the bottoms always stay the same, you never add or subtract them) when you do you will get 22/15, now you have to see if you can simplify it any further in this case you can't so your final answer is 22/15

Hope this helps
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Step-by-step explanation:

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b

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Answer:

16. D

17. 5^-1 · 5^-1 and 25^-1

8^0 · 8^3 and 8^3

Step-by-step explanation:

When you multiply two same numbers with exponents, just think of it as adding up exponents.

When you divide two same numbers with exponents, just think of it as subtracting exponents.

If a parenthesis has an exponent outside, then every exponent inside the parenthesis will be multiplied by that outside parenthesis.

(5^-1)^-2 · 5^3 ÷ 5^7

5^2 · 5^3 ÷ 5^7

5^5 ÷ 5^7

5^-2

When exponents are negative, you have to flip them or put them on the other side

5^-2 = 1/5^2 = 1/25

Let's try to find the equivalent pairs

6^7 ÷ 6^-2 = 6^5

6^9 = 6^5 Not equivalent

(6^3)^0 = 6

6^0 = 1 (Any number with a zero exponent is always 1)

1 = 6 Not equivalent

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5^-2 = 25^-1

Flip em

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1/25 = 1/25 Equivalent

8^0 · 8^3 = 8^3

8^3 = 8^3 Equivalent

4^-3 ÷ 4^2 = 4^5

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