Question

i dont know how to get a mixed number into a fraction i have four questions for it

Answer 1

get a mixed number into a fraction

Example:

$3\frac{1}{2}$

we make a new fraction, then the numerator is: multiply denominator by integer and add the previos numerator

$(2\times3)+1$

the denominator is: the same

so

$\begin{gathered} \frac{(2\times3)+1}{2} \\ \\ \frac{6+1}{2}=\frac{7}{2} \end{gathered}$

Second example

$7\frac{3}{4}\longrightarrow\frac{(4\times7)+3}{4}=\frac{31}{4}$

Third example

$11\frac{1}{3}\longrightarrow\frac{(3\times11)+1}{3}=\frac{34}{3}$

Exercise

to get a fraction into a mixed number

you divide the numerator between the denominator to obtain integer part

$\frac{17}{7}=2.428571429$

the integer is 2, is we multiply 7 by 2 is 14 , 14 needs 3 to be 17. then integer part is 2 and the fraction is 3 between the sme denominator

$\frac{17}{7}\longrightarrow2\frac{3}{7}$

second exercise

$\frac{68}{3}=22.666666$

integer is 22, if we multiply 22 by 3we obtain 66, to be 68 we need 2, then the integer part is 22 the numerator is 2 and denominator the same

$\frac{68}{3}\longrightarrow22\frac{2}{3}$