What is 1/(\frac{x+3){3x+10}+3} ?

The solution to 1/(\frac{x+3){3x+10}+3} is (3x+10)/(10x+33)

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simplify 1/(\frac{x+3){3x+10}+3}

simplify

\frac{1}{\frac{x + 3}{3 x + 10} + 3}

\frac{3 x + 10}{10 x + 33}

Solution steps

\frac{1}{\frac{x + 3}{3 x + 10} + 3}

Join

\frac{x + 3}{3 x + 10} + 3 : \frac{10 x + 33}{3 x + 10}

= \frac{1}{\frac{10 x + 33}{3 x + 10}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{3 x + 10}{10 x + 33}

- \frac{5}{4} + 4

1 - \frac{2}{3}

1 \div \frac{1}{12}

What is 1/(\frac{x+3){3x+10}+3} ?
The solution to 1/(\frac{x+3){3x+10}+3} is (3x+10)/(10x+33)