Question

4 5\9 + 13\18 - (1 1\3 - 7\18)

Answer 1

4 5/9 + 13/18 - ( 11/3-7/18)= 4*9+5/9 + 13/18 - (6*11/6*3- 7/18)= 41*2/9*2 + 13/18 - (66-7/18) = 82+13/18 - 59/18 = 95-59/18 = 36/18= 2

Answer 2

I can help you with math problems. Here is the detailed solution for your question:

The given expression is $$\frac{4}{5}+\frac{9}{13}-\left(\frac{1}{3}+\frac{7}{18}\right)$$

To simplify this expression, we need to find a common denominator for all the fractions. The least common multiple of 5, 13, 3, and 18 is 2340. So we multiply each fraction by the appropriate factor to get the same denominator.

$$\frac{4}{5}+\frac{9}{13}-\left(\frac{1}{3}+\frac{7}{18}\right)$$ $$=\frac{4\times 468}{5\times 468}+\frac{9\times 180}{13\times 180}-\left(\frac{1\times 780}{3\times 780}+\frac{7\times 130}{18\times 130}\right)$$ $$=\frac{1872}{2340}+\frac{1620}{2340}-\left(\frac{780}{2340}+\frac{910}{2340}\right)$$

Now we can combine the fractions by adding or subtracting the numerators and keeping the same denominator.

$$\frac{1872}{2340}+\frac{1620}{2340}-\left(\frac{780}{2340}+\frac{910}{2340}\right)$$ $$=\frac{1872+1620-780-910}{2340}$$ $$=\frac{1802}{2340}$$

Finally, we can simplify the fraction by dividing both the numerator and the denominator by the greatest common factor, which is 2.

$$\frac{1802}{2340}$$ $$=\frac{1802\div 2}{2340\div 2}$$ $$=\frac{901}{1170}$$

Therefore, the simplified expression is $$\frac{901}{1170}$$