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lions [1.4K]
3 years ago
10

What is 6/7 x 7/8 ?

Mathematics
2 answers:
maks197457 [2]3 years ago
6 0

Answer: 42/56 simplest form is 3/4

Step-by-step explanation:

Multiply 6*7 to get 42 and 7*8 to get 56. Turn it into a fraction and get 42/56

Divide each side by 14 and get 3/4

damaskus [11]3 years ago
4 0

Answer:

3/4

Step-by-step explanation:

(6/7)(7/8)=6/8=3/4

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Step-by-step explanation:

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DochEvi [55]

Answer:

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3 years ago
Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parenthe
AlekseyPX
The answer is
\frac{-6i-3}{5}.

Before we rationalize the denominator, we must simplify the numerator and denominator.  We evaluate the square root on the top, and combine like terms on the bottom:
\frac{\sqrt{-9}}{(4-7i)-(6-6i)}
\\
\\=\frac{\sqrt{9i^2}}{4-6-7i--6i}
\\
\\=\frac{3i}{-2-i}

To rationalize the denominator, we multiply by the conjugate.  The conjugate is found by making the imaginary term of the complex number, the i part, the opposite sign.  The conjugate of -2-i is -2+i:

\frac{3i}{-2-i}\times \frac{-2+i}{-2+i}
\\
\\=\frac{3i(-2+i)}{(-2-i)(-2+i)}
\\
\\=\frac{3i\times -2 + 3i\times i}{-2\times -2 + -2\times i + -2\times -i + -i\times i}
\\
\\=\frac{-6i+3i^2}{4-2i+2i-i^2}
\\
\\=\frac{-6i+3(-1)}{4-i^2}=\frac{-6i-3}{4-(-1)}=\frac{-6i-3}{5}
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3 years ago
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saveliy_v [14]
1. C
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