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Basic Mathematics

# Multiplying and Dividing Fractions

If $$\tan \frac{x}{2}=-11$$, the value of $$\tan x$$ can be expressed as $$\frac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers. What is the value of $$a+b$$?

Evaluate $\left(-\frac{19}{3}\right) \times \left(-\frac{15}{19}\right).$

Divide $$80$$ by $$\frac{1}{4}$$ and then add $$30$$. What is the result?

Evaluate $1\frac{5}{7} \div 1\frac{1}{5}.$

Evaluate $3\frac{1}{2} \times 4.$

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