Find the ratio of 32 cm to 1 m. Express your answer in its simplest form.
To find the ratio of 32 cm to 1 m, first we need to make sure that both quantities are expressed in the same units. Since 1 meter is equivalent to 100 centimeters, we will convert 1 meter to centimeters:
1 m = 100 cm
Now, the ratio can be written as:
32 cm : 100 cm
To simplify the ratio, we divide both sides by the greatest common divisor that they share. Since both numbers are divisible by 4, we divide by 4:
(32 ÷ 4) cm : (100 ÷ 4) cm
8 cm : 25 cm
So, the simplified ratio of 32 cm to 1 m is 8:25.