Question

`5/6(-8/15)`

Answer 1

`\displaystyle (5)/(6)\cdot (-8)/(15)=-(4)/(9)`

Explanation:

Fraction Multiplying

The product of two fractions can be obtained by multiplying their numerators and denominators separately. Then, simplify and show the result.

We are given the product:

`\displaystyle (5)/(6)\cdot (-8)/(15)`

Multiply as directed:

`\displaystyle (5)/(6)\cdot (-8)/(15)=(5*(-8))/(6*15)=-(40)/(90)`

Simplifying by 10:

`\displaystyle -(40)/(90)=-(4)/(9)`

Thus:

`\boxed{\displaystyle (5)/(6)\cdot (-8)/(15)=-(4)/(9)}`