Math, asked by Anonymous, 11 months ago

I know it's an easy question but I forgot the way to do it. ADD both the fraction​

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Answers

Answered by Blaezii
11

Answer :

The answer is \dfrac{71}{252}

Step-by-step explanation :

Given :

\sf \dfrac{5}{36}\;+\dfrac{6}{42}

To Do :

Addition of the Fractions.

Solution :

\bigstar Remember -

If you have to add the fractions, make sure that the denominators are the same of the fractions which you gonna add.

So, The Fraction - \sf \dfrac{5}{36}\;+\dfrac{6}{42}

We can see that the denominators are not same.

So, Let's make the same.

We will find the LCM of 36 and 42.

So,

The prime factorization of 36

36 = 2 × 2 × 3 × 3

The prime factorization of 42

42 = 2 × 3 × 7

LCM = 2 × 2 × 3 × 3 × 7

LCM = 252

1st Fraction,

\sf \\ \\\implies \dfrac{5}{36}\\ \\ \\ \implies \dfrac{5 \times 7}{36 \times 7}= 35

2nd Fraction,

\sf \\ \\\implies \dfrac{6}{42}\\ \\ \\\implies \dfrac{6 \times 6}{42\times6}\\ \\ \\\implies \dfrac{36}{252}

Now, We got the same Denominators,

So, Simply Add these fractions,

\sf \\ \\\implies \dfrac{35}{252} + \dfrac{36}{252}\\ \\ \\ \implies \dfrac{35 + 36}{252}\\ \\ \\ \implies \dfrac{71}{252}

Hence,

The answer is \dfrac{71}{252}

Answered by pranay0144
1

Step-by-step explanation:

Add we need to add both fractions so

 \frac{5}{36}  +  \frac{6}{42}

So,

By cross multiplication method

 \frac{5 \times 42 + 6 \times 36}{ 36\times 42}

  = \frac{210 + 216}{1512}  \\  =   \frac{416}{1512}   =  \frac{213}{756}  =  \frac{71}{252}

Hey mate

Ans is

 \frac{71}{252}

This will help

Mark brainlist

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