Question

Write three equivalent ratios for 12 to 18.

Answer 1

2 to 3, 24 to 36, and 6 to 9

Explanation:

First ratio:

• We can find our first equivalent by finding the greatest common factor (GCF) of 12 and 18 and then by dividing both numbers by it.
• The GCF of 12 and 18 is 6. 12/6 = 2 and 18/6 = 3.
• Thus, one equivalent ratio is 2 to 3

Second equivalent ratio:

• We can also divide 12 and 18 by other shared factors, even though they're not the GCF. We know that 2 is a shared factor of both 12 and 18.
• 12/2 = 6 while 18/2 = 9
• Thus, a second equivalent ratio is 6 to 9.

Third equivalent ratio:

• When we have a ratio, we're able to produce an equivalent by multiplying both numbers by the same number.
• We can try 2.
• 12 * 2 = 24 and 18 * 2 = 36
• Thus, a third equivalent ratio is 24 to 36.