Respuesta :
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
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:
1. D. 30
2. C. [tex]\frac{5}{14}[/tex]
3. [tex]\frac{5}{9}[/tex]
4. D. [tex]\frac{8}{15}[/tex]
5. A. [tex]\frac{12}{9}, \frac{11}{9}[/tex]
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 [tex]\frac{3}{5}[/tex] and [tex]\frac{1}{6}[/tex] LCD will be 5×6 = 30
2. [tex]\frac{3}{7} - \frac{1}{14} = \frac{6-1}{14} = \frac{5}{14}[/tex]
3. [tex]\frac{1}{3} - \frac{2}{9} = \frac{3+2}{9} = \frac{5}{9}[/tex] = [tex]\frac{5}{9}[/tex]
4. [tex]\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}[/tex]
5. [tex]\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}[/tex]