Respuesta :
Step 1: How to multiply Fractions
Fractions are number that have two-part numerator and denominator e.g
[tex]\frac{3}{4},\frac{5}{4\text{ }}[/tex]To multiply fractions, you multiply the numerator and denominator
Examples:
[tex]\frac{5}{7}\times\frac{3}{4}=\frac{5\times3}{7\times4}=\frac{15}{28}[/tex]Then you reduce the result to the lowest form if possible.
Step 2: How to Divide fractions
Dividing a fraction is very similar to the multiplication of fractions. Just that you are to change the division symbol to multiplication and then you take the reciprocal of the fraction.
Example:
5/8 ÷ 3/4
This will become
[tex]\frac{5}{8}\times\frac{4}{3}=\frac{5}{2}\times\frac{1}{3}=\frac{5}{6}[/tex]Note that the 4 at the numerator is used to divide 8 at the denominator
Step; How to Add and Subtract Fractions
To add or subtract fraction, you make use of the LCM of the denominators
Examples:
[tex]\begin{gathered} \frac{5}{8}+\frac{4}{5} \\ \text{The denominators are 8 and 5 whose LCM is 40} \\ \frac{5}{8}+\frac{4}{5} \\ =\frac{25+32}{40}=\frac{57}{40}=1\frac{17}{40} \end{gathered}[/tex]Note that: Divide the denominator by the LCM and multiply the result by the numerator
Similarly for subtraction
[tex]\begin{gathered} \frac{5}{6}-\frac{3}{4} \\ \text{The LCM of the denominators is 24} \\ \frac{5}{6}-\frac{3}{4} \\ =\frac{20-18}{24}=\frac{2}{24}=\frac{1}{12} \end{gathered}[/tex]Note that you can also use a similar approach to Mixed Fractions
For mixed fractions, you can convert the fraction to an improper fraction and follow the approach above.
Alternatively, you can use this
Example
[tex]\begin{gathered} 4\frac{3}{5}-2\frac{1}{3} \\ \text{The mixed fraction has two part, the whole number and proper fraction} \\ 4\frac{3}{5}-2\frac{1}{3}=(4-2)(\frac{3}{5}-\frac{1}{3}) \end{gathered}[/tex][tex]\begin{gathered} \text{Then we have} \\ 2(\frac{9-5}{15})=2\frac{4}{15} \end{gathered}[/tex]A similar method also goes for addition.
