Question

1. find the LCD of 3/5 and 1/6.

Answer 1

1. LCD of 3/5 and 1/6 is 30

2. 3/7 - 1/14 = 6/14 - 1/14 = 5/14

3. 1/3 + 2/9 = 3/9 + 2/9 = 5/9

4. 8/15

5. 1 2/9 - 1 1/9

Answer 2

Answer:

1. D. 30

2. C. $\frac{5}{14}$

3.  $\frac{5}{9}$

4. D. $\frac{8}{15}$

5. A. $\frac{12}{9}, \frac{11}{9}$

Step-by-step explanation:

1. LCD or lowest common denominator for a set of fractions is lowest common multiple of all the denominators in that set of fractions

∴ for $\frac{3}{5}$ and $\frac{1}{6}$ LCD will be 5×6 = 30

2. $\frac{3}{7} - \frac{1}{14} = \frac{6-1}{14} = \frac{5}{14}$

3. $\frac{1}{3} - \frac{2}{9} = \frac{3+2}{9} = \frac{5}{9}$ = $\frac{5}{9}$

4. $\frac{2}{15} + \frac{1}{15} = \frac{1}{5}\\\\\frac{2}{15} + \frac{8}{30} = \frac{2}{5}\\\\\frac{2}{15} + \frac{5}{15} = \frac{7}{15}\\\\\frac{2}{15} + \frac{8}{15} = \frac{2}{3}$

5. $\frac{12}{9} - \frac{11}{9} = \frac{1}{9} \\\\\frac{34}{7} - \frac{21}{7} = \frac{13}{7} \\\\\frac{24}{5} - \frac{11}{3} = \frac{17}{15}\\\\\frac{27}{9} - \frac{11}{3} = \frac{-6}{9}$