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3 years ago

I know how to do equivalent fractions but idk how to do this one

Mathematics

2 answers:

NNADVOKAT [17]3 years ago

8 0

2/4 = x/6

2/4 = 1/2 = 3/6

you find the least common denominator which will be 12

2/4 = 6/12

you multiply 4 x 3 to get 12 so you have to multiply 2 x 3 and get 6.

now if you divide both numbers 6/12 by 2 then 6/12=1/2.

another way to look at this one is 2 is half of 4, so what is half of 6.

../.... = .../......

kompoz [17]3 years ago

3 0

Reduce your fraction 2/4 down to 1/2, and then find the smallest common factor of 2 and 6 (which happens to be 6). Since you multiply 2 by 3, then you have to multiply your numerator by 3 also, giving you 3/6. Since your denominators match, it means you have found the answer.

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9. Combine the radical expression, if possible.

Anastaziya [24]

Answer:

we conclude that:

$3\sqrt{125}+4\sqrt{20}=23\sqrt{5}$

Hence, the last option i.e. $23\sqrt{5}$ is correct.

Step-by-step explanation:

Given the expression

$3\sqrt{125}+4\sqrt{20}$

Combining the radical expressions

$3\sqrt{125}+4\sqrt{20}$

let us first solve

$3\sqrt{125}$

$=3\sqrt{5^3}$

$=3\sqrt{5^2\cdot \:5}$

Apply radical rule: $\sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0,\:b\ge 0$

$=3\sqrt{5^2}\sqrt{5}$

Apply radical rule: $\sqrt{a^2}=a,\:\quad \:a\ge 0$

$=3\cdot \:5\sqrt{5}$

$=15\sqrt{5}$

Thus,

$3\sqrt{125}=15\sqrt{5}$

similarly solving

$4\sqrt{20}$

$=4\sqrt{2^2\cdot \:5}$

Apply radical rule: $\sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0,\:b\ge 0$

$=4\sqrt{2^2}\sqrt{5}$

Apply radical rule: $\sqrt{a^2}=a,\:\quad \:a\ge 0$

$=4\cdot \:2\sqrt{5}$

$=8\sqrt{5}$

Thus,

$4\sqrt{20}=8\sqrt{5}$

so we get

$3\sqrt{125}=15\sqrt{5}$

$4\sqrt{20}=8\sqrt{5}$

so the expression becomes

$3\sqrt{125}+4\sqrt{20}=15\sqrt{5}+8\sqrt{5}$ ∵ $3\sqrt{125}=15\sqrt{5}$ , $4\sqrt{20}=8\sqrt{5}$

$=23\sqrt{5}$ ∵ $15\sqrt{5}+8\sqrt{5}=23\sqrt{5}$

Therefore, we conclude that:

$3\sqrt{125}+4\sqrt{20}=23\sqrt{5}$

Hence, the last option i.e. $23\sqrt{5}$ is correct.

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Answer:

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Step-by-step explanation:

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