Question

1/3+4/5+1/12= 2/7+1/6+1/9=

Answer 1

Тут легче поменять местами 4/5 и -1/12, тогда:
1/3-1/12+4/5 = 1*4/12 - 1/12 + 4/5 = (4-1)/12 + 4/5 = 3/12 + 4/5 = 1/4 +4/5 = 1*5/20 +4*4/20 = (5+16)/20 = 21/20 =  1,05

2/7-1/6+1/9 = 2*6/42 - 1*7/42 +1/9 = (12-7)/42 + 1/9 = 5/42 + 1/9 = 5*3/126 + 1*14/126 = (15+14)/126 = 29/126 = 0,23

Answer 2

1/3+4/5+1/12=20/60+48/60+5/60=73/60= 1 13/60
2/7+1/6+1/9=36/126+21/126+14/126=71/126

Answer 3

To solve these arithmetic equations, we need to find the common denominator for each set of fractions and then perform the addition.

Let's solve the first equation: 1/3 + 4/5 + 1/12

To find the common denominator, we multiply the denominators together: 3 * 5 * 12 = 180.

Now, we'll rewrite each fraction with the common denominator: 1/3 = 60/180 4/5 = 144/180 1/12 = 15/180

Adding the fractions together: 60/180 + 144/180 + 15/180 = (60 + 144 + 15)/180 = 219/180

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 3: 219/180 = (73/60)

Therefore, the first equation simplifies to 73/60.

Now, let's solve the second equation: 2/7 + 1/6 + 1/9

To find the common denominator, we multiply the denominators together: 7 * 6 * 9 = 378.

Now, we'll rewrite each fraction with the common denominator: 2/7 = 108/378 1/6 = 63/378 1/9 = 42/378

Adding the fractions together: 108/378 + 63/378 + 42/378 = (108 + 63 + 42)/378 = 213/378

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 3: 213/378 = (71/126)

Therefore, the second equation simplifies to 71/126.