Question
Evaluate: $\left(2 \times \frac{1}{4}\right)-\left(\frac{-18}{7} \times \frac{-7}{15}\right)$
✓
Answer
$ =\left(\frac{2 \times 1}{1 \times 4}\right)-\left(\frac{(-18) \times(-7)}{7 \times 15}\right)$
$ =\left(\frac{1 \times 1}{1 \times 2}\right)-\left(\frac{(-18) \times(-1)}{1 \times 15}\right)$
$ =\frac{1}{2}-\frac{18}{15}$
$\text{LCM}$ of $2 $ and $15$ is $2 \times 3 \times 5=30$
$=\frac{1 \times 15}{2 \times 15}-\frac{18 \times 2}{15 \times 2}$
$\text{LCM}$ of $2$ and $15=30$
$=\frac{15-36}{30}=\frac{-21}{30}=\frac{-7}{10}$
$ =\left(\frac{1 \times 1}{1 \times 2}\right)-\left(\frac{(-18) \times(-1)}{1 \times 15}\right)$
$ =\frac{1}{2}-\frac{18}{15}$
| $2$ | $2, 15$ |
| $3$ | $1, 15$ |
| $5$ | $1, 5$ |
| $1, 1$ |
$=\frac{1 \times 15}{2 \times 15}-\frac{18 \times 2}{15 \times 2}$
$\text{LCM}$ of $2$ and $15=30$
$=\frac{15-36}{30}=\frac{-21}{30}=\frac{-7}{10}$
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
What is the smallest number by which 1600 must be divided so that the quotient is a perfect cube?
Find the interest and the amount on: ₹ $750$ in $3$ years $4$ months at $10\%$ per annum.
→Write the following sets in Roster form: $B = \{p : p \in $ W and $p^2 < 20\}$
→A cistern contains $5$ thousand liters of water. If $6\%$ of water is leaked. Find how many liters of water are left in the cistern.
→In the adjoining figure, ABCD is a parallelogram and $\angle A =120^{\circ}$. If the bisectors of $\angle A$ and $\angle B$ meet at a point P , show that $\angle APB$ is a right angle.
→Subtract :
$\frac{-2}{5}$ from $\frac{-5}{7}$
→$\frac{-2}{5}$ from $\frac{-5}{7}$
If Megha’s age is increased by three times her age, the result is $60$ years. Find her age
→The following figure is a rectangle in which $x: y = 3: 7$; find the values of $x$ and $y$.
→Compare the pair of rational number : $\frac{-7}{24}$ and $\frac{9}{-20}$
→$50$ labourers can dig a pond in $16$ days. How many labourers will be required to dig another pond, double in size in $20$ days?
→