2 x -3-4 x -9-A- 6 x -9B- 5 x -9C- 5 x -9D- 10 x -9

The correct option is D 10x/9 Given fractions are 2x/3 and 4x/9. LCM of the denominators 3 and 9 is 9. So, convert the denominators of both fractions to 9. 2 ...

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Byju's Answer

Standard VIII

Mathematics

Associative Property of Rational Numbers

2 x /3+4 x /9...

Question

$\frac{2 x}{3} + \frac{4 x}{9}$ = ___

$\frac{6 x}{9}$

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$\frac{10 x}{9}$

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$\frac{5 x}{9}$

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$\frac{15 x}{9}$

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Solution

The correct option is B
$\frac{10 x}{9}$

Given fractions are $\frac{2 x}{3}$ and $\frac{4 x}{9}$ .

LCM of the denominators 3 and 9 is 9. So, convert the denominators of both fractions to 9.

$⟹$ $\frac{2 x}{3}$ = $\frac{2 x}{3} \times \frac{3}{3}$

= $\frac{6 x}{9}$

Now, sum of $\frac{2 x}{3}$ and $\frac{4 x}{9}$ = $\frac{6 x}{9}$ + $\frac{4 x}{9}$

= $\frac{10 x}{9}$

Suggest Corrections

2x3+4x9 = ___

The correct option is B 10x9 Given fractions are 2x3 and 4x9. LCM of the denominators 3 and 9 is 9. So, convert the denominators of both fractions to 9. ⟹ 2x3 = 2x3×33 = 6x9 Now, sum of 2x3 and 4x9 = 6x9 + 4x9 = 10x9

$\frac{2 x}{3} + \frac{4 x}{9}$ = ___