3 years ago

-5 3/4 + -4 5/8 as a fraction

Mathematics

1 answer:

ruslelena [56]3 years ago

8 0

Answer:

-10 3/8 or - 83/8

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Type the correct answer in each box. If necessary, use / for the fraction bar(s).

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Given:

The values are $a=0.\overline{6},b=0.75$ .

To find:

The values of $ab$ and $\dfrac{a}{b}$ .

Solution:

We have,

$a=0.\overline{6}$

$a=0.666...$ ...(i)

Multiply both sides by 10.

$10a=6.666...$ ...(ii)

Subtracting (i) from (ii), we get

$10a-a=6.666...-0.666...$

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$a=\dfrac{6}{9}$

$a=\dfrac{2}{3}$

And,

$b=0.75$

$b=\dfrac{75}{100}$

$b=\dfrac{3}{4}$

Now, the product of a and b is:

$ab=\dfrac{2}{3}\times \dfrac{3}{4}$

$ab=\dfrac{1}{2}$

The quotient of a and b is:

$\dfrac{a}{b}=\dfrac{\dfrac{2}{3}}{\dfrac{3}{4}}$

$\dfrac{a}{b}=\dfrac{2}{3}\times \dfrac{4}{3}$

$\dfrac{a}{b}=\dfrac{8}{9}$

Therefore, the required values are $ab=\dfrac{1}{2}$ and $\dfrac{a}{b}=\dfrac{8}{9}$ .

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