Question
Evaluate: $\left(\frac{-13}{7} \times \frac{-35}{39}\right)-\left(\frac{-7}{45} \times \frac{9}{14}\right)$
✓
Answer
$\begin{aligned} & \left(\frac{-13}{7} \times \frac{-35}{39}\right)-\left(\frac{-7}{45} \times \frac{9}{14}\right) \\ & \Rightarrow \frac{-13 \times(-35)}{7 \times 39}+\frac{7 \times 9}{45 \times 14} \\ & \Rightarrow \frac{-1 \times(-5)}{1 \times 3}+\frac{1 \times 1}{5 \times 2} \\ & \Rightarrow \frac{5}{3}+\frac{1}{10}\end{aligned}$
| 2 | 3,10 |
| 3 | 3,5 |
| 5 | 1,5 |
| 1,1 |
L.C.M. of 3 and $10=2 \times 3 \times 5=10$
$ \begin{aligned} & \Rightarrow \frac{5 \times 10}{3 \times 10}+\frac{1 \times 3}{10 \times 3} \\ & (\because \text { L.C.M. of } 3 \text { and } 10=30) \\ & \Rightarrow \frac{50+3}{30}=\frac{53}{30}=1 \frac{23}{30} \end{aligned} $
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A boy first goes 5 m due north and then 12 m due east. Find the distance between the initial and the final position of the boy.
Find the radius of the circle whose circumference is equal to the sum of the circumferences of the circles having radius 15 cm and 8 cm.
Using ruler and compasses, construct the following angle:
165°
165°
The ratio between the areas of two circles is 16 : 9. Find the ratio between their :
(i) radius
(ii) diameters
(iii) circumference
(i) radius
(ii) diameters
(iii) circumference
A sum amounts to Rs. 2,652 in 6 years at 5% p.a. simple interest. Find:
(i) the sum
(ii) the time in which the same sum will double itself at the same rate of interest.
(i) the sum
(ii) the time in which the same sum will double itself at the same rate of interest.
If the mean of the following frequency distribution is 15, find the value of p.
| Variable (xi) | 10 | 12 | 14 | 16 | 18 |
| Frequency (fi) | 13 | p | 15 | 32 | 28 |
What should be added to $-\frac{3}{6}$ to get $-\frac{11}{24} ?$
→A man spends $\frac{2}{5}$ of his salary on food and $\frac{3}{10}$ of the remaining on house rent, electricity, etc. What fraction of his salary is still left with him?
→The length of a rectangular field is 30 m and its diagonal is 34 m. Find the breadth of the field and its perimeter.
Apply the properties of isosceles and equilateral triangles to find the unknown angles in the given figure:
