Download App

Rational Numbers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSRational Numbers3 Marks
Question
Simplify: $\frac{-9}{11}+\frac{2}{3}+\frac{-3}{4}$
✓

Answer

$\frac{-9}{11}+\frac{2}{3}+\frac{-3}{4}$
$LCM$ of $11, 3, 4 = 11 \times 3 \times 4 = 132$
$\therefore\frac{-9}{11}=\frac{-9\times12}{11\times12}=\frac{-108}{132}$
$\frac{2}{3}=\frac{2\times44}{3\times44}=\frac{88}{132}$
$\frac{-3}{4}=\frac{-3\times33}{4\times33}=\frac{-99}{132}$
$\therefore\frac{-9}{11}+\frac{2}{3}+\frac{-3}{4}$
$=\frac{-108}{132}+\frac{88}{132}+\frac{-99}{132}$
$=\frac{-108+88+(-99)}{132}$
$=\frac{-108+88-99}{132}$
$=\frac{-207+88}{132}$$=\frac{-119}{132}$

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 "3 Marks Question" from Rational Numbers→Rational Numbers — all question types→MATHS STD 7 question papers→Gujarat Board STD 7 question papers→Gujarat Board question paper generator→

Similar questions

A diagonal of a quadrilateral is $26\ cm$ and the perpendiculars drawn to it from the opposite vertices are $12.8\ cm$ and $11.2\ cm$. Find the area of the quadrilateral.
→
Two supplementary angles differ by $44^\circ $. Find the angles.
→
Find the number whose $6\frac{1}{4}\%$ is $2.$
→
Solve the following equation. Also, verify the result.
$x-\frac{x}{4}-\frac{1}{2}=3+\frac{x}{4}$
→
The cost of $7 \frac{2}{3}$ metres of rope is $₹ 12 \frac{3}{4}$. Find its cost per metre.
→
Identify the like terms and also mention the numerical coefficients of those terms:
$4 x y,-5 x^2 y,-3 y x, 2 x y^2$
→
Find the product $24 x^2(1-2 x)$ and evaluate it fore $x=2$.
→
Divide $Rs. 880$ between Rajan and Kamal in the ratio $\frac{1}{5}:\frac{1}{6}$
→
Prepare a frequency table of the following scores obtained by $50$ students in a test:
$42$
$51$
$21$
$42$
$37$
$37$
$42$
$49$
$38$
$52$
$7$
$33$
$17$
$44$
$39$
$7$
$14$
$27$
$39$
$42$
$42$
$62$
$37$
$39$
$67$
$51$
$53$
$53$
$59$
$41$
$29$
$38$
$27$
$31$
$54$
$19$
$53$
$51$
$22$
$61$
$42$
$39$
$59$
$47$
$33$
$34$
$16$
$37$
$57$
$43$
→
The sum of two numbers is $\frac{-4}{3},$ If one of the numbers is $-5$ find the other.
→