Question

How do you multiply and divide fractions ?

Answer 1

COME ON MATHSTUDENT55, you have been typing your reply for ages!

Answer 2

To multiply fraction, multiply the numerators together, and multiply the denominators together. Then simplify if possible. In general:\[\frac{ a }{ b } \times \frac{ c }{ d } = \frac{ ac }{ bd }\]
Here's an example of multiplication:
\[\frac{ 3 }{ 10 } \times \frac{ 8 }{ 15 } = \frac{ 3 \times 8 }{ 10 \times 15 } = \frac{ 24 }{ 150 } = \frac{ 4 \times 6}{ 25 \times 6 } = \frac{ 4 }{ 25 }\]

To divide fractions, multiply the first one by the reciprocal of the second one. Then follow the rules of multiplication. The reciprocal is the flipping the fraction. Here's the general rule:
\[\frac{ a }{ b } \div \frac{ c }{ d } = \frac{ a }{ b } \times \frac{ d }{ c } = \frac{ ad }{ bc }\]