Question

Reduce fraction: a^3+a^2b/5a times 25/3b+3a

Answer 1

`(5a)/(3)`

Step-by-step explanation

The given fractions are:

`\frac{{a}^(3) + {a}^(2) b}{5a} * (25)/(3b + 3a)`

We factor to obtain:

`\frac{{a}^(2)(a + b)}{5a} * (25)/(3(a + b))`

We cancel the common factors to get:

`\frac{{a}(1)}{1} * (5)/(3(1))`

We multiply the numerators and also multiply the denominators to get:

`(5a)/(3)`

Therefore the two fractions simplifies to
`(5a)/(3)`