Simplify $\frac{{{x}^{2}}-{{y}^{2}}}{{{(x+y)}^{2}}}\div \frac{{{(x-y)}^{2}}}{(3x+3y)}$

If x = 64 and y = 27, evaluate $\frac{{{x}^{\tfrac{1}{2}}}-{{y}^{\tfrac{1}{3}}}}{y-{{x}^{\tfrac{2}{3}}}}$

Simplify: $10\tfrac{2}{5}-6\tfrac{2}{3}+3$

Solve for x in the equation $\frac{1}{x}+\frac{2}{3x}=\frac{1}{3}$

Express $3-\left[ \frac{x-y}{y} \right]$ as a single fraction

Solve for x in the equation $\tfrac{3}{5}(2x-1)=\tfrac{1}{4}(5x-3)$

Simplify $\tfrac{m}{n}+\tfrac{m-1}{5n}-\tfrac{m-2}{10n}$ where $n\ne 0$

Simplify $1\tfrac{1}{2}+2\tfrac{1}{3}\times \tfrac{3}{4}-\tfrac{1}{2}$

Simplify $(\tfrac{3}{4}-\tfrac{2}{3})\times 1\tfrac{1}{5}$

Simplify $(3\tfrac{1}{2}+4\tfrac{1}{3})\div (\tfrac{5}{6}-\tfrac{2}{3})$

Solve $\frac{2x+1}{6}-\frac{3x-1}{4}=0$

For what value of x is the expression $\frac{2x-1}{x+3}$ not defined? 

Simplify $\frac{x-4}{4}-\frac{x-3}{6}$

What is the place value of 9 in the number 3.0492?

A farmer uses $\frac{2}{5}$of his land to grow cassava, $\frac{1}{3}$of the remainder for yam and the rest for maize. Find the part of the land used for maize

Solve the equation $\frac{2y-1}{3}-\frac{3y-1}{4}=1$

Evaluate $\frac{3\tfrac{1}{4}\times 1\tfrac{3}{5}}{11\tfrac{1}{3}-5\tfrac{1}{3}}$

Solve the equation $\frac{1}{5x}+\frac{1}{x}=3$

Simplify$\frac{2-18{{m}^{2}}}{1+3m}$