Are the ratios 6:18 and 2:6 equivalent?

Mathematics

2 answers:

Ksju [112]3 years ago

7 0

Yes because 6/18=1/3 and 2/6=1/3. Then 6/18=2/6

viktelen [127]3 years ago

3 0

Treat them like fractions. Ratios are just fractions in a different form.

$\frac{6}{18} and \frac{2}{6}$

You can simplify 6/18. Find common factors. 2, 3, 6

Let's try and divide the top and bottom (numerator and denominator) by 3.
Then you get 2/6.
2/6 is equivalent to 2/6

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We need the perimeter of the window for framing

The window is in the shape of a rectangle with the height of $9 \frac{1}{3}$ feet and width of $6 \frac{3}{4}$ . The diagram of the shape is shown below

The perimeter of a shape is obtained by adding up the length of all the sides that form the shape.

The perimeter of the window is $9 \frac{1}{3}+9 \frac{1}{3}+6 \frac{3}{4}+6 \frac{3}{4}$ = $18 \frac{2}{3}+12 \frac{6}{4}$

We have two whole numbers 18 and 12 and two fractions $\frac{2}{3}$ and $\frac{6}{4}$

Adding the two fractions that have different denominator
$\frac{2}{3}+ \frac{6}{4} = \frac{8}{12}+ \frac{18}{12}= \frac{26}{12}$ , which is an improper fraction which we can change into a mixed number $2 \frac{1}{6}$

So the perimeter of the window is
$18+12+2 \frac{1}{6} =32 \frac{1}{6}$

and the length of wood needed for the frame is $32 \frac{1}{6}$ feet