Question

$2 + \frac{3}{4} \\ \\ \frac{5}{9} + \frac{2}{3} \\ \\ 2 \times \frac{2}{3} + \frac{1}{4}$
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Answer 1

Answer:

1. 2 + 3/4 = 8 + 3 / 4 = 11/4 = 2 3/4 Ans.

2. 5/9 + 2/3 =  5 + 6 / 9 = 11/9 Ans.

3. 2 × 2/3 + 1/4 = 4/3 + 2/3 = 6/3 = 2 Ans.

Step-by-step explanation:

Hope its helpful to you.

Answer 2

Given :

$\sf \bullet 2 + \dfrac{3}{4}$

To find :

• the value

Solution :

• Here, we have to convert the whole number to a fraction.

$\Rightarrow \sf 2 = \dfrac{2}{1}$

• Now, we have to find the LCM (Least Common Factor) of the denominators.

LCM of 1 and 4 = 4

$\Rightarrow \sf \dfrac{2 \times 4}{1 \times 4 } = \dfrac{8}{4}$

• As the denominators are the same, we can add them easily now.

$\sf \Rightarrow \dfrac{8}{4} +\dfrac{3}{4}$

$\sf = \dfrac{8 + 3}{4}$

$\sf = \dfrac{11}{4}$

Therefore, the value is 11/4.

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Given :

$\sf \bullet \dfrac{5}{9} + \dfrac{2}{3}$

To find :

• the value

Solution :

• First, we have to find the LCM of the denominators.

LCM of 9 and 3 is 9.

• Now,

$\sf \Rightarrow \dfrac{5}{9} = \dfrac{5 \times 1 }{9 \times 1 }$

        $\sf = \dfrac{5}{9}$

$\sf \Rightarrow \dfrac{2}{3} = \dfrac{2 \times 3 }{3 \times 3}$

       $\sf = \dfrac{6}{9}$

• Since the denominators are the same, we can add them easily.

$\Rightarrow \sf \dfrac{5}{9} + \dfrac{6}{9}$

$\sf = \dfrac{5 + 6}{9}$

$\sf = \dfrac{11}{9}$

Therefore, the value is 11/9.

_________________

Given :

$\sf \bullet 2 \times \dfrac{2}{3} + \dfrac{1}{4}$

To find :

• the value

Solution :

$\Rightarrow \sf 2 \times \dfrac{2}{3} + \dfrac{1}{4}$

$\Rightarrow \sf \dfrac{2 \times 2}{3} + \dfrac{1}{4}$

$\Rightarrow \sf \dfrac{4}{3} + \dfrac{1}{4}$

• Next, we have to find the LCM of the denominator.

⇒ LCM of 3 and 4 is 12.

$\Rightarrow \sf \dfrac{4 \times 4}{3 \times 4} = \dfrac{16}{12}$

$\sf \Rightarrow \dfrac{1 \times 3}{4 \times 3} = \dfrac{3}{12 }$

• Now, let's add them.

$\Rightarrow \sf \dfrac{16}{12} +\dfrac{3}{12}$

⇒ 16 + 3/12

⇒ 19/12

Therefore, the value is 19/12.