Question

What is the value of ¾ + ⅚ + 2 / 7?​

Answer 1

Answer:

157/84

Step-by-step explanation:

3/4+5/6+2/7

lcm 4 6 7 = 84

3 ×21=63. 5×14=70. 2×12=24

4 ×21=84. 6×14=84. 7×12=84

63+70+24 = 157/84

84.

Answer 2

Given: The equation is$\frac{3}{4} +\frac{5}{6} +\frac{2}{7}$.

We have to find the value of the given equation.

By using the addition property, we are solving the given equation.

We are solving in the following way:

We have the equation is$\frac{3}{4} +\frac{5}{6} +\frac{2}{7}$.

First, we will find the LCM of the denominators.

The prime factorization of $4$will be$2\times2$.

The prime factorization of $6$will be$2\times3$.

The prime factorization of $7$will be$7\times1$.

$\therefore$ The LCM of $4,6,and 7$will be:

$=>2\times2\times3\times7\\=>84$

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

Now we will make the denominator the same by multiplying as follows:

$\therefore \frac{3}{4} \times\frac{21}{21} +\frac{5}{6} \times\frac{14}{14} +\frac{2}{7} \times\frac{12}{12} \\\\=>\frac{63}{84} +\frac{70}{84} +\frac{24}{84} \\\\=>\frac{63+70+24}{84}$

Solving the above equation further we get,

$=>\frac{157}{84}$

Hence, after solving the above equation we will get the value of the equation is$\frac{157}{84}$.