Question
Evaluate: $\left(\frac{18}{33} \times \frac{-22}{27}\right)+\left(\frac{13}{25} \times \frac{-75}{26}\right)$
✓
Answer
$\begin{aligned} & \left(\frac{18}{33} \times \frac{-22}{27}\right)+\left(\frac{13}{25} \times \frac{-75}{26}\right) \\ & \Rightarrow \frac{18 \times(-22)}{33 \times 27}-\frac{13 \times(-75)}{25 \times 26} \\ & \Rightarrow \frac{2 \times(-2)}{3 \times 3}-\frac{1 \times-3}{1 \times 2} \\ & \Rightarrow \frac{-4}{9}-\left(\frac{-3}{2}\right)=\frac{-4}{9}+\frac{3}{2}\end{aligned}$
| 2 | 9,2 |
| 3 | 9,1 |
| 3 | 3,1 |
| 1,1 |
L.C.M. of 9 and $2=2 \times 3 \times 3=18$
$ \Rightarrow \frac{-4 \times 2}{9 \times 2}+\frac{3 \times 9}{2 \times 9} $
$(\because$ L.C.M. of 9 and $2=18$ )
$ \Rightarrow \frac{-8+27}{18}=\frac{19}{18}=1 \frac{1}{18} $
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
Arrange the given rational numbers in ascending order:
$\frac{7}{10}, \frac{-11}{-30} \text { and } \frac{5}{-15}$
→$\frac{7}{10}, \frac{-11}{-30} \text { and } \frac{5}{-15}$
The perimeters of two squares are in the ratio 8:15, find the ratio between the lengths of their sides.
Draw ∠ABC = 120°. Bisect the angle using ruler and compasses only. Measure each 1 angle so obtained and check whether the angles obtained on bisecting ∠ABC are equal or not.
The sum of three consecutive even numbers is 48 . Find the numbers.
Draw a line segment AB = 5.8 cm. Mark a point P in AB such that PB = 3.6 cm. At P, draw a perpendicular to AB.
Evaluate: $\frac{7}{-27}+\frac{11}{18}$
→In the given figure, the arrows indicate parallel lines. State which angles are equal. Give a reason.
Find the product: $7 \frac{1}{4} \times \frac{7}{58} \times 1 \frac{11}{21}$
→Evaluate: $-\frac{2}{3}-\left(\frac{-5}{7}\right)$
→The marks obtained by a student in his annual examination in various subjects are given below :
Represent the above data by a bar graph.
| Subject | Hindi | Mathematics | English | Science | S.Studies |
| Marks obtained | 64 | 40 | 52 | 80 | 36 |