Write each fraction in terms of the LCD 316a3b3 1730a5b Writ

Write each fraction in terms of the LCD. 3/16a^3b^3 =__17/30a^5b =__Write each fraction in terms of the LCD. 8/7y-8 =__-2/7y + 8 =__

Solution

10. There are two fractions/ rational expressions here, namely 3/16a³b³ and 17/30a⁵b . We can write   16a³b³ as 2*8 a³b³ and 30a⁵b as 2*15 a³* a²*b. The common factors among these two expressions is 2a³b . Therefore, their LCD is (8b²)(15a²)( 2a³b ) = 240a⁵b³ . Then 3/16a³b³ = 45a²/240a⁵b³  and 17/30a⁵b = 136b² / 240a⁵b³

11. the given gractions are 8/(7y-8) and -2/(7y +8). Since there are no common factors between the two denominators, the LCD is (7y -8)(7y+8) = 49y² -64. Then, 8/(7y-8)= 8(7y +8)/ (49y² -64) = (56y +64)/(49y² -64)

and -2/(7y +8).= -2(7y-8)/ (49y² -64) = (-14y +16)/(49y² -64)