Question

Saji swims 1/3 mi every day. One day he had already swum 1/5 mi. How much further should he swim?

Answer 1

9514 1404 393

Answer:

  2/15 mi

Step-by-step explanation:

The difference of two fractions can always be computed using the pattern ...

  $\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bd}{bd}$

Using this pattern to find the difference of 1/3 and 1/5, we see it is ...

  1/3 -1/5 = (5 -3)/(3·5) = 2/15

Saji must swim 2/15 miles further to complete his 1/3 mile swim.