$\frac{1}{2} + \frac{3}{4} = ?$

$\frac{5}{4}$

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$\frac{4}{5}$

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$\frac{3}{4}$

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$\frac{5}{6}$

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Solution

The correct option is A
$\frac{5}{4}$

To add fractions, denominators should be the same.
Here, $\frac{1}{2} + \frac{3}{4}$
$= \frac{2}{4} + \frac{3}{4}$
$= \frac{2 + 3}{4}$
$= \frac{5}{4}$
$∴$ $\frac{1}{2} + \frac{3}{4} = \frac{5}{4}$

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\frac{1}{2} + \frac{3}{4} = ?

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Question 22

Which of the following is an example of distributive property of multiplication over addition for rational numbers.
(a) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = [- \frac{1}{4} \times \frac{2}{3}] + [- \frac{1}{4} \times (\frac{- 4}{7})]$
(b) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = [\frac{1}{4} \times \frac{2}{3}] - (\frac{- 4}{7})$
(c) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = \frac{2}{3} + (- \frac{1}{4}) \times \frac{- 4}{7}$
(d) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = {\frac{2}{3} + (\frac{- 4}{7})} - \frac{1}{4}$

(1) 4² + 2⁴− 3²

(2) 3³ − 2²+ 2⁰

(3) 5³ − 2² + 4⁰

(4) 6¹ + 5⁰ − 4¹

(5) (−2)² + 1² − 2²

Q. If

A \times B = {(1, 1), (1, 2), (1, 3), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (4, 3)}

then

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12+34=?

The correct option is A 54 To add fractions, denominators should be the same. Here,12+34 =24+34 =2+34 =54 ∴ 12+34=54

$\frac{1}{2} + \frac{3}{4} = ?$

The correct option is A
$\frac{5}{4}$

To add fractions, denominators should be the same.
Here, $\frac{1}{2} + \frac{3}{4}$
$= \frac{2}{4} + \frac{3}{4}$
$= \frac{2 + 3}{4}$
$= \frac{5}{4}$
$∴$ $\frac{1}{2} + \frac{3}{4} = \frac{5}{4}$