If p : q = 3 : 4 and q : r= 8 : 9, then p : r is: Options :1: 32 : 33 : 21: 2

To find the ratio p : r, we need to multiply the two given ratios.

Step 1: Write down the given ratios. p : q = 3 : 4 q : r = 8 : 9

Step 2: Multiply the ratios. To do this, multiply the first term of the first ratio (p) with the first term of the second ratio (q), and the second term of the first ratio (q) with the second term of the second ratio (r).

This gives us: p : r = 3 * 8 : 4 * 9

Step 3: Simplify the multiplication. p : r = 24 : 36

Step 4: Simplify the ratio. The ratio 24 : 36 can be simplified by dividing both terms by their greatest common divisor, which is 12.

p : r = 24/12 : 36/12 p : r = 2 : 3

So, the ratio p : r is 2 : 3.

To find the ratio p : r, we need to multiply the two given ratios.

Step 1: Write down the given ratios. p : q = 3 : 4 q : r = 8 : 9

Step 2: Multiply the ratios. To do this, multiply the first term of the first ratio (p) with the first term of the second ratio (q), and the second term of the first ratio (q) with the second term of the second ratio (r).

This gives us: p : r = 3 * 8 : 4 * 9

Step 3: Simplify the multiplication. p : r = 24 : 36

Step 4: Simplify the ratio. To do this, divide both terms by their greatest common divisor, which is 12. p : r = 24/12 : 36/12

So, p : r = 2 : 3

Therefore, the answer is 2 : 3.