Download App

Rational Numbers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers2 Marks
Question
Simplify
(I) $\frac{3}{7} \times \frac{28}{15}÷\frac{14}{5}$
(ii) $\frac{3}{7}+\left(\frac{-2}{21}\right) \times\left(\frac{-5}{6}\right)$
✓

Answer

(i) We have, $ \begin{aligned} \frac{3}{7} \times \frac{28}{15} ÷\frac{14}{5} =\frac{3}{7} \times \frac{28}{15} \times \frac{5}{14} =\frac{3}{7} \times\left(\frac{28}{15} \times \frac{5}{14}\right)=\frac{3}{7} \times \frac{2}{3}=\frac{2}{7} \end{aligned} $
(ii) We have, $\frac{3}{7}+\left(\frac{-2}{21}\right) \times\left(\frac{-5}{6}\right)=\frac{3}{7}+\left[\left(\frac{-2}{21}\right) \times\left(\frac{-5}{6}\right)\right]$
$=\frac{3}{7}+\left(\frac{-5}{-63}\right)=\frac{3}{7}+\frac{5}{63}=\frac{27+5}{63}=\frac{32}{63}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Rational Numbers→Rational Numbers — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

The digital root of an 8-digit number is 5. What will be the digital root of 10 more than that number?
→
Using suitable identities, evaluate the following.
$(69.3)^2-(30.7)^2$
→
Factorise the following using the identity $a^2- b^2= (a + b)(a - b).$
$25 a x^2-25 a$
→
Find the square root of the following by long division method:$4008004$
→
Show that the following numbers is a perfect square. In case, find the number whose square is the given number: $5929$
→
Factorise: $63 a^2-112 b^2=7$
→
Verify that
$ \frac{5}{6} \times\left(-\frac{4}{5}+\frac{-6}{10}\right)=\left[\frac{5}{6} \times\left(\frac{-4}{5}\right)\right]+\left[\frac{5}{6} \times\left(\frac{-6}{10}\right)\right].$
→
Find the least number which must be subtracted from each of the following numbers, so as to get a perfect square. Also, find the square root of the perfect square so obtained.
402
→
Factorize of the following expressions:
$abx^2+ (ay - b) x - y$
→
Subtract: $\frac{-18}{11}\ \text{from}\ 1$
→