The jogging track is 3/4 mile long, and Francine completed two laps around the track, so to find how far she has completed you would multiply only the numerator of 3/4 by 2 (because if you multiplied both the numerator and the denominator by 2, it would just be an equivalent fraction of 3/4).
3/4 * 2/1 = 6/4, so Francine has completed 6/4 miles (1 1/2).
Francine ran 1/3 of the distance, so divide 6/4 by 3 to find out how much is one-third of the total distance she has completed.
6/4 ÷ 3 ==> 6/4 * 1/3 (multiplying by the reciprocal is the same thing as dividing)
6/4 * 1/3 = 6/12, or 1/2
Subtract one-third of the total distance, which we just found is 1/2 miles, from the total distance Francine completed, 6/4 miles.
6/4 - 1/2
Multiply 1/2 by 2/2 to make both fractions have common denominators. Your new subtraction problem should look like:
6/4 - 2/4 = 4/4, which is equivalent to 1, so this means that Francine walked 1 mile.
