A frog made three jumps .The first was 12 5/6 inches. The second one was 8. 3/6 inches. The third jump was 15 1/6 inches. What was the total distance the frog jumped? Help pls

The answer to your question is  32 1/2 in

Step-by-step explanation:

1st jump = 12 5/6 in

2nd jump = 8 3/6

3rd jump = 15 1/6

Process

1.- Convert the mixed fractions into improper fractions

      12 5/6 = (12 x 6 + 5) / 6 = (72 + 5)/2 = 77/6

      8 3/6 = (8 x 3 + 3)/ 6 = (24 + 3)/6 = 27/6

      15 1/6 = (15 x 6 + 1)/6 = (90 + 1)/6 = 91/6

2.- Add the fractions

        77/6 + 27/6 + 91/6 = 195/6

3.- Convert the improper fraction into a mixed fraction

                        32        

                6   195

                        15

                          3

          195/6 = 32  3/6   or   32 1/2 in

sine

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.