Question

Simplify 2/3+4/5+7/6

Answer 1

Answer:

Lcm of 3,6,5=30

Then,

2/3=20/30

4/5=24/30

7/6=35/40

Adding all of them

20/30+24/30+35/30

= 79/30

Answer 2

The answer after simplifying the expression is 79/30

Step-by-step explanation:

Given:

2/3+4/5+7/6

To find:

simplify the expression

Solution:

The expression can be simplified using two ways

The LCM method or the cross multiplication method

we try the cross multiplication method for this expression

$\frac{2}{3} +\frac{4}{5} +\frac{7}{6}$

We cross multiply the second and third fraction terms in the expression

$\frac{2}{3} +\frac{(4 X 6) +(7 X 5)}{5 X 6}$

= $\frac{2}{3} +\frac{24 +35}{30}$

= $\frac{2}{3} +\frac{59}{30}$

Now we cross multiply the remaining fractions

= $\frac{ (30 X 2)+ (59 X 3)}{30 X 3}$

= $\frac{60 +177}{90}$

= $\frac{237}{90}$

By dividing and simplifying the fraction by 3 we get

$\frac{2}{3} +\frac{4}{5} +\frac{7}{6} = \frac{79}{30}$

Thus, 2/3+4/5+7/6 = 79/30

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