Question

1) с/9+с/5; 2) с/а+с/4;3) с/а+3с/b;4) с/1+2с/3;5)ас/d+ad/c;6) 3с/2а+6с/а. ​

Answer 1

Ответ:

Ответ на фото

Пошаговое объяснение:

Answer 2

1. To simplify the expression (с/9 + с/5), we need to find the least common denominator (LCD), which in this case is 45. Then, we can rewrite the expression with the common denominator:

с/9 + с/5 = (с * 5)/(9 * 5) + (с * 9)/(5 * 9) = 5с/45 + 9с/45

Now that both fractions have the same denominator, we can add them together:

= (5с + 9с)/45 = 14с/45

Therefore, the simplified expression is 14с/45.

2. For the expression (с/а + с/4), we need to find the LCD, which is 4а. Then, we can rewrite the expression with the common denominator:

с/а + с/4 = (с * 4)/(а * 4) + (с * а)/(4 * а) = 4с/4а + са/4а

Now that both fractions have the same denominator, we can add them together:

= (4с + са)/4а

Therefore, the simplified expression is (4с + са)/4а.

3. To simplify the expression (с/а + 3с/b), we need to find the LCD, which is ab. Then, we can rewrite the expression with the common denominator:

с/а + 3с/b = (с * b)/(а * b) + (3с * а)/(b * а) = bс/ab + 3са/ab

Now that both fractions have the same denominator, we can add them together:

= (bс + 3са)/ab

Therefore, the simplified expression is (bс + 3са)/ab.

4. For the expression (с/1 + 2с/3), we can simplify it directly:

с/1 + 2с/3 = с + (2с/3)

There is no common denominator to find since the second fraction is already simplified. We can combine the terms:

= с + (2с/3) = (3с + 2с)/3 = 5с/3

Therefore, the simplified expression is 5с/3.

5. To simplify the expression (ас/d + ad/c), we need to find the LCD, which is cd. Then, we can rewrite the expression with the common denominator:

ас/d + ad/c = (ac * c)/(d * c) + (ad * d)/(c * d) = ac^2/cd + ad^2/cd

Now that both fractions have the same denominator, we can add them together:

= (ac^2 + ad^2)/cd

Therefore, the simplified expression is (ac^2 + ad^2)/cd.

6. For the expression (3с/2а + 6с/а), we need to find the LCD, which is 2а. Then, we can rewrite the expression with the common denominator:

3с/2а + 6с/а = (3с * а)/(2а * а) + (6с * 2а)/(а * 2а) = 3са/2а^2 + 12са/2а^2

Now that both fractions have the same denominator, we can add them together:

= (3са + 12са)/2а^2 = 15са/2а^2

Therefore, the simplified expression is 15са/2а^2.