Simplify the following expression.

\([\frac{85}{34}\times \frac{1}{18}- \{(\frac{46}{69}\div\frac{27}{135})-(\frac{86}{129}\div\frac{14}{91})\}\ of \frac{112}{36}]\)

What is the value of \(\rm \frac{X}{Y}\) if \(\rm \frac{X-5Y}{X+5Y}=\frac{7}{13}\).

Which of the following is the smallest ratio?

\(\frac{5}{6}, \frac{7}{9}, \frac{11}{12}, \frac{13}{18} \)

The value of \(\frac{2}{7} - \frac{3}{8} - \left[ {2\frac{1}{4} \div 3\frac{1}{2}\,\,{\rm{of}}\,{\rm{1}}\frac{1}{3} + \left\{ {1\frac{{17}}{{40}}\, - \,\left( {3\, - \,1\frac{1}{5}\, - \,\frac{3}{8}} \right)} \right\}} \right]\)  is:

Find the value of the following expression:

\(\frac{4 \frac{1}{3}+3 \frac{1}{3} \times 1 \frac{4}{5} \div 3 \frac{3}{4} \times\left(6 \frac{1}{4} \text { of } 1 \frac{1}{15}\right)}{\frac{2}{3} \div \frac{5}{6} \times \frac{2}{3}}\)

If \(A = 0.3\overline{12}\) ,  \(B = 0.4\overline{15}\) and  \(C = 0.30\overline{9}\)  then what is the value of A + B + C ?

The value of \(\frac{52-1170\div26+13\times2}{2+1\frac{1}{8}\ \rm of\ 2-1\frac{1}{4}}\)  is:

value of   \(3\frac{5}{6}+\left[3\frac{2}{3}+\lbrace{\frac{15}{4}\left(5\frac{4}{5}\div 14\frac{1}{2}\right)\rbrace}\right]\) is equal to:

If three-fifths of a number is 54, what is two-ninth of it?

Sunila had \(9\frac{1}{4}\) kg of flour to make bread with. If the recipe says that she needs  \(1\frac{1}{8}\) kg to make one loaf of bread, how many loafs can she make? Estimate to the nearest whole number.

The value of \(\frac{{11}}{5} - \left( {\frac{2}{3}of\frac{3}{5} - \frac{1}{5}} \right) + \left( {\frac{6}{5} \div \frac{4}{5}} \right)\) is:

In his career, a tennis player won 5 matches lost 12 matches and had 3 matches as draw. The fraction of the match he lost in his career is: