Use a common denominator to determine whether the ratios form a proportion.

6 : 15 and 30 : 80

Question

Use a common denominator to determine whether the ratios form a proportion. 

6 : 15 and 30 : 80

anonymous · Answer

What is the greatest common factor of 6 and 15?

What is the greatest common factor of 30 and 80?

anonymous · Answer

3 and 10

anonymous · Answer

Yes, divide each of the ratio's both sides by the greatest common factor.

Divide each side of 6:15 by 3, and divide each side of 30:80 by 10...

anonymous · Answer

which ratios do you get now? list them, what are they?

anonymous · Answer

2:5 and 10:8

anonymous · Answer

the first one is correct, the second on is 3:8.

anonymous · Answer

$$\frac{2}{5}~~\text{___}~~\frac{3}{8}$$
$$\frac{2 \times 8 }{5 \times 8}~~\text{___}~~\frac{3 \times 5 }{8 \times 5}$$
$$\frac{16 }{40}~~\text{___}~~\frac{15 }{40}$$

fill in the blank with,  ≥, ≤  or = .

muzzack · Answer

≥

anonymous · Answer

Yeah it's >

anonymous · Answer

I meant  > < (sorry  it's >)

anonymous · Answer

So the first ratio is greater:)

anonymous · Answer

Thank you! :)