Question
Simplify
$ \frac{-8}{9} \times\left(\frac{3}{7}+\frac{7}{4}\right) $
$ \frac{-8}{9} \times\left(\frac{3}{7}+\frac{7}{4}\right) $
✓
Answer
$\frac{-8}{9} \times\left(\frac{3}{7}+\frac{7}{4}\right)=\frac{-8}{9} \times\left(\frac{12+49}{28}\right)$
$=\frac{-8}{9} \times \frac{61}{28}=\frac{-122}{63}$
We can also solve it as
$\frac{-8}{9} \times\left(\frac{3}{7}+\frac{7}{4}\right)=\frac{-8}{9} \times \frac{3}{7}+\left(\frac{-8}{9}\right) \times \frac{7}{4}\quad$ [by distributive property]
$=\frac{-8}{21}-\frac{14}{9}=\frac{-24-98}{63}=\frac{-122}{63}$
Thus, $\frac{-8}{9} \times\left(\frac{3}{7}+\frac{7}{4}\right)=\frac{-122}{63}$
$=\frac{-8}{9} \times \frac{61}{28}=\frac{-122}{63}$
We can also solve it as
$\frac{-8}{9} \times\left(\frac{3}{7}+\frac{7}{4}\right)=\frac{-8}{9} \times \frac{3}{7}+\left(\frac{-8}{9}\right) \times \frac{7}{4}\quad$ [by distributive property]
$=\frac{-8}{21}-\frac{14}{9}=\frac{-24-98}{63}=\frac{-122}{63}$
Thus, $\frac{-8}{9} \times\left(\frac{3}{7}+\frac{7}{4}\right)=\frac{-122}{63}$
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
Write the following numbers in the usual form: $1.0001 × 10^9$
→Observe the following pattern and the missing digits.
Find the square root of $1024$ by Division method.
→Express the $0.00000000837$ in standard form.
→Can we say whether the following numbers are perfect squares? How do we know?
(i) 1057 $\qquad$ (ii) 23453$\quad$(iii) 7928
(iv) 222222$\quad$(v) 1069 $\quad$ (vi) 2061
Write five numbers which you can decide by looking at their ones digit that they are not square numbers.
→(i) 1057 $\qquad$ (ii) 23453$\quad$(iii) 7928
(iv) 222222$\quad$(v) 1069 $\quad$ (vi) 2061
Write five numbers which you can decide by looking at their ones digit that they are not square numbers.
Find product: $\big(\frac{4}{3}\text{u}^2\text{vw}\big)×\big(−5\text{uvw}^2)×\big(\frac{1}{3}\text{v}^2\text{wu})$
→Factorise : $ax + bx – ay – by$
→Factorize of the following expressions:
$Lm^2- mn^2- Lm + n^2$
→$Lm^2- mn^2- Lm + n^2$
The human body is made up mostly of water. In fact, about $67\%$ of a person’s total body weight is water. If Jyoti weights $56\ kg$, how much of her weight is water?
→Simplify the expression and evaluate as directed: $3y(2y – 7) – 3(y – 4) – 63$ for $y = –2$
→