7/13 less than the product of a number Q and 5/13 is 3/13

Answer 1

The product of Q and 5/13 is (5/13)q

7/13 less than that is (5/13)q - 7/13

If that equals 3/13 then:

(5/13)q - 7/13 = 3/13

To solve this equation, the easiest thing is to multiply both sides of the equation by 13 to get rid of the fractions. So, it becomes:

5q - 7 = 3

Add 7 to both sides to get

5q = 10

Divide both sides by 5 to get

q = 2

Answer 2

Product of Q and 5/13: 5Q/13

7/13 less than that: 5Q/13 - 7/13

Set that equal to 3/13: 5Q/13 - 7/13 = 3/13

Now, multiply all terms by 13 (note: this is the same as just considering the numerator when the denominator is the same:

5Q - 7 = 3

5Q = 10 [add 7 to both sides]

Q = 2 [divide both sides by 5]

To check. replace the Q by 2:

Does 5Q/13 - 7/13 = 3/13 ?

10/13 - 7/13 = 3/13 ?

3/13 = 3/13 ?yes