Question

What is the result when x+25 is subtracted from 3 10 3 10 O 9 10 о 3 10 O 3 10 .

Answer 1

$3\frac{1}{2}x-4\frac{1}{10}-(\frac{3}{8}x+2\frac{1}{5})$

To solve this:

Write the mixed numbers as fractions

$a\frac{b}{c}=\frac{ac+b}{c}$$\begin{gathered} 3+\frac{1}{2}=\frac{6+1}{2}=\frac{7}{2} \\ \\ 4\frac{1}{10}=\frac{40+1}{10}=\frac{41}{10} \\ \\ 2\frac{1}{5}=\frac{10+1}{5}=\frac{11}{5} \end{gathered}$

You get:

$=\frac{7}{2}x-\frac{41}{10}-\frac{3}{8}x-\frac{11}{5}$

Combine like terms:

$\begin{gathered} \frac{7}{2}x-\frac{3}{8}x=\frac{56x+6x}{16}=\frac{62}{16}x=\frac{31}{8}x \\ \\ -\frac{41}{10}-\frac{11}{5}=\frac{-205-110}{50}=-\frac{315}{50}=-\frac{63}{10} \\ \\ \\ =\frac{31}{8}x-\frac{63}{10} \end{gathered}$

Turn fractions into mixed numbers:

$\begin{gathered} \frac{31}{8}=\frac{24}{8}+\frac{7}{8}=3\frac{7}{8} \\ \\ \frac{63}{10}=\frac{60}{10}+\frac{3}{10}=6\frac{3}{10} \end{gathered}$You get as final result:$3\frac{7}{8}x-6\frac{3}{10}$