Find the number that is smaller than 5 5/12 by as much as 2 2/13 is smaller than 6 1/6

the number is x = 1 + 21/52

Step-by-step explanation:

we have

(5 + 5/12) - x = (6 + 1/6) - (2 + 2/13)

this means that x is smaller than 5 + 5/12 by the same amount as (2 + 2/13) is smaller than (6 + 1/6)

We can solve it directly, first solve the parentheses, put the whole numbers at one side and the fractions in the other side:

5 - 6 + 2 - x = -5/12 + 1/6 - 2/13

1 - x = -5/12 + 2/12 - 2/13

1 - x = -3/12 - 2/13 = -1/4 - 2/13 = -13/(4*13) - (2*4)/(4*13) = -21/52

x = 1 + 21/52

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.