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2 years ago

12/13 divided by 3/15 write your answer as a simplified fraction

Mathematics

1 answer:

Agata [3.3K]2 years ago

4 0

Answer:

$\frac{60}{13}$

[improper fraction]

$4 \frac{8}{13}$

[mixed fraction]

$4.\overline{615384}$

[decimal]

Explanation:

$\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} × \frac{d}{c} = \frac{ad}{bc}$

12/13 divided by 3/15 →

$\frac{\frac{12}{13}}{\frac{3}{15}}$ →

$\frac{12}{13} × \frac{15}{3}$ →

$\frac{12}{13} × 5$ →

$\frac{60}{13}$

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Write an equation of the line that passes through the given point and is parallel to the given line.

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Answer:

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Step-by-step explanation:

Remember that

If two lines are parallel, then their slopes are the same

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we have

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step 1

Find the slope of the given line

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we have

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and is parallel to the given line

we have

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step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

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b is the y-intercept

The slope of the given line is

$m=5$

step 2

Find the y-intercept b

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step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

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substitute in the linear equation

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we have

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step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

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b is the y-intercept

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step 2

Find the y-intercept b

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substitute

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