Jake lives 3/4 of a mile from school. He walks 2/3 of a mile and then stops how much does he have to walk?

Answer 1

The first step in answering the question is to set up an equation using the information provided.

We know that Jake's total walk needs to equal 3/4 of a mile and he has only walked 2/3 of a mile so far plus has an unknown amount left to walk.

Step 1: Our equation is: m + 2/3 = 3/4 (the m standing for Miles).

Step 2: The next step is getting the variable m all by itself. To do that you need to combine 2/3 and 3/4 by using the opposite operation in the equation. So that means subtracting 2/3 from 3/4.

Our Equation now looks like: m = 2/3 - 3/4

Step 3: To solve the equation we need to find the a common denominator so we can subtract our fractions. A common denominator for both 3 and 4 is twelve. Now we need to multiply the denominators by a number that will make them equal 12.

***Remember what you do the bottom you must do the top***

2x4 = 8 3x3= 9

3x4= 12 4x3= 12

2/3 now becomes 8/12 and 4/3 now becomes 9/12.

Step 4: Now that we have found our common denominator we can subtract.

m = 9/12 - 8/12

m = 1/12

THE ANSWER: Jake has 1/12 of a mile left to walk.

CHECK: to check the equation put the answer in place of the variable.

m + 2/3 = 3/4

is

1/12 + 2/3 = 3/4

1/12 + 8/12 = 9/12

9/12 CAN BE SIMPLIFIED TO 3/4. The answer checks out.