Question

How do you multiply and simplify `9 3/7* 5/6`?

Answer 1

See the full simplification process below:

Explanation:

The first step is to convert the mixed fraction into an improper fraction:

We do this by multiplying the integer portion of the number by the appropriate form of `1` using the denominator of the fraction portion and then adding this to the fraction portion:

`9 3/7 * 5/6 -> ((7/7 * 9) + 3/7) * 5/6 ->`

`(63/7 + 3/7) * 5/6 = 66/7 * 5/6`

Before multiplying we can simplify these fractions as follows:

`(6 xx 11)/7 * 5/6 = (color(red)(cancel(color(black)(6))) * 11)/7 * 5/color(red)(cancel(color(black)(6))) = 11/7 * 5/1`

We can now multiply the numerators and denominators:

`(11 * 5)/(7 * 1) = 55/7`