Which ratio forms a proportion with start fraction 9 over 15 end fraction ?
A ratio that forms a proportion with the fraction 9/15 is any ratio that is equivalent to 9/15.
To find the ratio that forms a proportion with the fraction 9/15, we need to simplify the fraction first.
To simplify the fraction 9/15, we can divide both the numerator and the denominator by their greatest common divisor, which is 3.
9 ÷ 3 = 3
15 ÷ 3 = 5
So, the simplified fraction is 3/5.
Now, to find the ratio that forms a proportion with 3/5, we can set up a proportion equation, in the form of:
a/b = c/d
where 'a' and 'c' are the numerator and denominator of the given fraction, and 'b' and 'd' are the numerator and denominator of the ratio we are trying to find.
Plugging in the values, we have:
9/15 = 3/5
Now, we can cross-multiply and solve for 'b':
9 × b = 3 × 15
9b = 45
Dividing both sides of the equation by 9:
b = 45/9
b = 5
Therefore, the ratio that forms a proportion with the fraction 9/15 is 5:1.