What’s the least common denominator (lcd) for each group of fractions? a. 1⁄6 and 7⁄8 b. 3⁄4 and 7⁄10 c. 7⁄12, 3⁄8 and 11⁄36 d. 8⁄15, 11⁄30 and 3⁄5

Find Lowest Common Denominator:

A.). 1 / 6 and 7 / 8 ===> LCD = 24

Rewriting input as fractions if necessary:

For the Denominators ( 6, 8 ), LCM ==> 24

Therefore, The LCD, is ==> 24

Rewriting the Original inputs as Equivalent Fractions with the LCD:

4/24; 21 / 24

B.). 3 ⁄ 4 and 7 ⁄ 10 ===> LCD = 20

Rewriting input as fractions if necessary:

3 / 4, 7 / 10

For the Denominators ( 4, 10 ), The LCM ===> 20

Therefore, The LCD ==> 20

Rewriting the original inputs as equivalent fractions with the LCD:

15 / 20; 14 / 20

C.). 7 ⁄ 12, 3 ⁄ 8 and 11 ⁄ 36 > LCD = 72

Rewriting input as fractions if necessary:

7 / 12, 3 / 8, 11 / 36

For the Denominators ( 12, 8, 36 ), The LCM ===> 72

Therefore, The LCD ==> 72

Rewriting the original inputs as equivalent fractions with the LCD:

42 / 72; 27 / 72; 22 / 72

D.). 8 ⁄ 15, 11 ⁄ 30 and 3 ⁄ 5 > LCD = 30

Rewriting input as fractions if necessary:

8 / 15; 11 / 30; 3 / 5

For the Denominators ( 15, 30, 5 ), The LCM ===> 30

Therefore, The LCD ==> 30

Rewriting the original inputs as equivalent fractions with the LCD:

16 /30; 11 / 30; 18 / 30

Therefore, Answers are:

A.). 1 / 6 and 7 / 8 ===> LCD = 24

B.). 3 ⁄ 4 and 7 ⁄ 10 ===> LCD = 20

C.). 7 ⁄ 12, 3 ⁄ 8 and 11 ⁄ 36 > LCD = 72

D.). 8 ⁄ 15, 11 ⁄ 30 and 3 ⁄ 5 > LCD = 30

Hope that helps : )

the answer would be c:   ax + b = ax + c

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet