Question

How do you multiply `\frac { 35} { 36} \cdot ( - \frac { 30} { 49} )`?

Answer 1

See a solution process below:

Explanation:

To multiply fractions you multiply the numerators and denominators separately:

`35/36 * (-30/49) => (35 * -30)/(36 * 49)`

Next we can factor the terms in the numerator and denominator and cancel common terms:

`(7 * 5 * 6 * -5)/(6 * 6 * 7 * 7) => (color(red)(cancel(color(black)(7))) * 5 * color(blue)(cancel(color(black)(6))) * -5)/(color(blue)(cancel(color(black)(6))) * 6 * color(red)(cancel(color(black)(7))) * 7) => (5 * -5)/(6 * 7) =>`

`-25/42`