which is the smallest ratio 3 to 4, 2/3, 10:12, 2 to 1

Answer 1

Each ratio can be rewritten as a fraction:

3 to 4 becomes 3/4

2/3 is already a fraction

10:12 becomes 10/12 which can be simplified to 5/6 by dividing both the numerator and the denominator by 2

2 to 1 is 2/1 or 2

2 to 1 is the greatest because it is the only whole number. Comparing the three remaining can be a little more difficult because they have different denominators (the number on the bottom of the fraction).

In order to compare them we can find equivalent(equal) fractions that have a common denominator.

In order to find equivalent fractions we first find the common denominator. Then we multiple the fraction by a unit of one (ex. 2/2, 3/3, 4/4).

3/4 ,2/3, 10/12 12 would be a common denominator because 4 x 3 =12 3 x 4=12 and 12 x 1=12

3 x 3 = 9 3/4=9/12

4 x 3 = 12 2/3=8/12

10/12= 10/12

2 x 4 = 8

3 x 4 =12

Now that they have the same denominator we can see that 8/12 or 2/3 is the smallest fraction.

So, 2/3 is the smallest ratio.