Why do I have to multiply the fractions in the following question? Mia walked 3/4 of a mile alone to school. Her friend joined her 2/3 of the way. How long did Mia walk alone?

Answer 1

Mia joined the walk after 2/3 x 3/4 mile = 1/2 mile

she walked alone for 1/2 mile

2/3 of 3/4 means (2/3)(3/4) = 6/12 = 1/2

then 3/4- 1/2 = 1/4 mile is all that Mia walked together with her friend