Change the fraction w-3/w+5 into an equivalent fraction with the denominator w2 + w – 20.

1 answer:

5 0

ANSWER

$\frac{ {w}^{2} - 7w + 12}{ {w}^{2} + w - 20 }$

EXPLANATION

The given fraction is,

$\frac{w - 3}{w + 5}$

To get an equivalent fraction, we multiply both the numerator and the denominator by the same quantity that will give us

w²+w-20

in the denominator.

This implies that,

$\frac{w - 3}{w + 5} = \frac{(w - 3)(w - 4)}{(w + 5)(w - 4)}$

We multiply out the numerators and denominators using the distributive property to obtain,

$\frac{w - 3}{w + 5} = \frac{ {w}^{2} - 4w - 3w + 12}{ {w}^{2} - 4w + 5w - 20 }$

This simplifies to

$\frac{w - 3}{w + 5} = \frac{ {w}^{2} - 7w + 12}{ {w}^{2} + w - 20 }$

You might be interested in

6x+1/2y=3 into slope intercept form

12345 [234]

Y=-12x+6. I used the slope intercept form y=mx+b to solve.

5 0

3 years ago

Amelie is making a recipe that uses 1 3/4 cups flour. She is making 2 1/2 times the original recipe.

elixir [45]

Answer:

She would need $4\frac{3}{8}$ flour to make $2\frac{1}{2}$ times the recipe.

Step-by-step explanation:

To make 1 recipe Amelia uses = $1 \frac{3}{4}\ cups$ of flour.

So, to make $2\frac{1}{2}$ times the recipe she would need = $1 \frac{3}{4}\times 2\frac{1}{2}$ .

We evaluate the above mixed numbers by converting them to fraction(by multiplying denominator with whole number and adding to numerator and write as fraction of same denominator.).

$=\frac{7}{4}\times \frac{5}{2}$

$=\frac{35}{8}$

Then converting back to mixed number (by dividing the numerator by denominator and writing the quotient as the whole number and the remainder as fraction with same denominator.

$\frac{35}{8}=4\frac{3}{8}$