Question
Add the following rational number: $-3$ and $\frac{3}{5}$
✓
Answer
$-3$ and $\frac{3}{5}$ $=\frac{-3}{1}+\frac{3}{5}$
The $LCM$ of the denominators $1$ and $5$ is $5$.
Now, we will express $\frac{-3}{1}$ in the form in which it taken denominator as $5$.
$\frac{-3}{1}=\frac{-3\times5}{1\times5}=\frac{-15}{5}$
So, $\frac{15}{5}+\frac{3}{5}$ $=\frac{-15+3}{5}=\frac{-12}{5}$
The $LCM$ of the denominators $1$ and $5$ is $5$.
Now, we will express $\frac{-3}{1}$ in the form in which it taken denominator as $5$.
$\frac{-3}{1}=\frac{-3\times5}{1\times5}=\frac{-15}{5}$
So, $\frac{15}{5}+\frac{3}{5}$ $=\frac{-15+3}{5}=\frac{-12}{5}$
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
Replace $A, B, C$ by suitable numerals. $\underline{ \ \ \ \ 4 \ \text{C B } \ 6\\+3 \ \ 6\ \ 9\text{ A}}\\ \ \ \ \ 8\ \ 1\ \ 7\ \ 3$
→Find the least number which must be added to each of the following numbers, so as to get a perfect square. Also, find the square root of the perfect square, so obtained.
525
525
Using suitable identities, evaluate the following.
$(52)^2$
→$(52)^2$
Find the additive inverse of the following:$\frac{-17}{8}$
→Simplify: $\Bigg[\bigg\{\Big (\frac{-1}{4}\Big)^2\bigg\}\Bigg ]^{-1}$
→Simplify
(I) $\frac{3}{7} \times \frac{28}{15}÷\frac{14}{5}$
(ii) $\frac{3}{7}+\left(\frac{-2}{21}\right) \times\left(\frac{-5}{6}\right)$
→(I) $\frac{3}{7} \times \frac{28}{15}÷\frac{14}{5}$
(ii) $\frac{3}{7}+\left(\frac{-2}{21}\right) \times\left(\frac{-5}{6}\right)$
Deepti went to school for $216$ days in a full year. If her attendance is $90\%$ find the number of days on which the school was opened$?$
→Solve:
$ a^4-1 / b^4 $
→$ a^4-1 / b^4 $
Consider the parallelogram. Find the degree values of the unknowns $x, y, z$
→Find the multiplicative inverse (reciprocal) of the following rational numbers: $\frac{-5}{8}\times\frac{16}{15}$
→