Step-by-step explanation:
Multiplication of fractions is easiest operation. Simply multiple numerator to numerator and denominator to denominator. For example,
[tex]\frac{x}{y} * \frac{a}{b }= \frac{x*a}{y*b}[/tex]
Addition and subtraction requires that we find a common demoninator.
For example,
[tex]\frac{6}{4} + \frac{4}{3}[/tex]
The common denominator is 12. So I need to muliply each fraction to get the right denominator. 4*3 = 12.
[tex]\frac{6}{4}*\frac{3}{3} + \frac{4}{3} \frac{4}{4} = \frac{18}{12}+\frac{16}{12}[/tex]
Then we add the numerators
[tex]\frac{18+16}{12} = \frac{32}{12}[/tex]
Then we should reduce.
[tex]\frac{16}{6} = \frac{8}{3}[/tex]
Division is a little trickier because we have to flip-flop the second term and then multiply. For example: [tex]\frac{1}{10} \div \frac{5}{6} \rightarrow \frac{1}{10} * \frac{6}{5} = \frac{6}{50}[/tex]
