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 : )

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step-by-step explanation: