Question

find the sum of the following. ​

Answer 1

Answer:

$\frac{3}{2} + \frac{11}{4} \\ \frac{6 + 11}{4 } \\ \frac{17 }{4} \\ 4 \frac{1}{4}$

it is correct answer of this question

Answer 2

Question :

Find the sum of :

$\sf \rightarrow 1 \dfrac{1}{2} + 2 \dfrac{3}{4}$

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Before, finding the answer. Let's find out how we can find the answer.

• In this question, we have to find the sum of the following fractions.
• So, to find that, we have to first convert the fractions from mixed fraction to improper fraction
• Next, we will have different denominator. So, to change that, we have to find the LCM of the denominators.
• After, getting the same denominator, we have to add numerators.

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Given :

$\sf \bullet \: 1 \dfrac{1}{2}$

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

To find :

• Sum of the fractions

Solution :

$\sf = 1 \dfrac{1}{2} + 2 \dfrac{3}{4}$

Converting to mixed fractions,

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

$\sf = \dfrac{ 2+ 1}{2} + \dfrac{8 + 3}{4}$

$\sf = \dfrac{3}{2} + \dfrac{11}{4}$

Now,

LCM of 2 and 4.

$\Large{ \begin{array}{c|c} \sf 2 & \sf{2,4} \\ \cline{1-2} \sf 2 & \sf {1,2} \\ \cline{1-2} \sf & \sf{ 1,1} \end{array}}$

LCM = 2 × 2

        = 4

• Now, taking 4 as common denominators.

$\sf = \dfrac{3 \times 2 }{2 \times 2 } + \dfrac{11}{4}$

$\sf = \dfrac{6}{4} + \dfrac{11}{4}$

$\sf = \dfrac{6 + 11}{4}$

$\sf = \dfrac{17}{4}$

Therefore, the sum of 1 1/2 and 1 3/4 is 17/4.