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Schach [20]
3 years ago
10

I really need help with fractions! Please Help!

Mathematics
1 answer:
dolphi86 [110]3 years ago
6 0

1. 27/4= 6 3/4

2. 47/40= 1 7/40

3. 9/8= 1 1/8

4. 20/9= 2 2/9

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Consider the fraction \dfrac{k+7}{4k+28}.

1. You can see that the denominator 4k+28 can be simplified to expression 4(k+7), because 4k=4·k and 28=4·7, so using the distributive property you can write that 4k+28=4(k+7).

2. Then the initial fraction becomes

\dfrac{k+7}{4k+28}= \dfrac{k+7}{4(k+7)}.

3. The nominator and the denominator have the common divisor k+7, then you can divide top and bottom by k+7:

\dfrac{k+7}{4k+28}= \dfrac{k+7}{4(k+7)}=\dfrac{1}{4}.

Answer: \dfrac{1}{4}

4 0
3 years ago
Complete the equation for the linear function whose graph contains the point (-1,2) and has a slope of 0.9.
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Plug it into point-slope form.

y - y1 = m(x - x1)

Where y1 is the y-value of the point, x1 is the x-value, and 'm' is the slope.

So plug in -1 for x1, 2 for y1, and 0.9 for 'm':

y - 2 = 0.9(x + 1)

Simplify to get in slope-intercept form:

Distribute 0.9 into the parenthesis:

y - 2 = 0.9x + 0.9

Add 2 to both sides:

y = 0.9x + 2.9
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