simplify \(\frac{\frac{7}{9}-\frac{2}{3}}{\frac{1}{3}+\fr...
simplify \(\frac{\frac{7}{9}-\frac{2}{3}}{\frac{1}{3}+\frac{\frac{2}{5}}{\frac{4}{5}}}\)
\(\frac{11}{12}\)
\(\frac{5}{6}\)
\(\frac{1}{5}\)
\(\frac{2}{15}\)
Correct answer is D
\(\frac{\frac{7}{9}-\frac{2}{3}}{\frac{1}{3}+\frac{\frac{2}{5}}{\frac{4}{5}}}\\
=\frac{\frac{7-6}{9}}{\frac{1}{3}+\frac{\frac{2}{5}}{\frac{4}{5}}}\\
=\frac{\frac{1}{9}}{\frac{1}{3}+\left(\frac{2}{5}\times \frac{5}{4}\right)}\\
=\frac{\frac{1}{9}}{\frac{1}{3}+\frac{1}{2}}\
=\frac{\frac{1}{9}}{\frac{2+3}{6}}\\
=\frac{\frac{1}{9}}{\frac{5}{6}}\\
=\frac{1}{9}\times\frac{6}{5}\\
=\frac{2}{15}\)
Evaluate \(\frac{12.02 \times 20.06}{26.04 \times 60.06}\), correct to three significant figures....
Simplify \(\frac{4a^2 - 49b^2}{2a^2 - 5ab - 7b^2}\)...
If (2x + 3)3 = 125, find the value of x...
A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)? ...
In the diagram, PQ||RS and angles are as shown. Find x ...
The positions of two countries P and Q are (15°N, 12°E) and (65°N, 12°E) respectively. What is t...
A car is travelling at an average speed of 80km/hr. Its speed in meters per second (m/s) is ...
A boy walks 800m in 20 minutes. Calculate his average speed in km per hour ...
In the diagram, PQ//RT, QR//Su, ...
Find the equation of a line which is form origin and passes through the point (−3, −4) ...