Order of Operations / LCM / GCF / Fractions 2 — Heart of Algebra

Questions in this quiz (6)

1. What is the least common multiple of 9 and 12?

   • $$12$$
   • $$36$$
   • $$3$$
   • $$6$$

2. What is the greatest common factor of 15 and 25?

   • $$5$$
   • $$10$$
   • $$15$$
   • $$25$$

3. Reduce $$\frac{15}{20}$$ to its lowest terms.

   • $$\frac{1}{5}$$
   • $$\frac{3}{4}$$
   • $$\frac{7}{10}$$
   • $$\frac{1}{4}$$

4. Reduce $$\frac{9}{28}$$ to its lowest terms.

   • $$\frac{3}{4}$$
   • $$\frac{1}{7}$$
   • $$\frac{1}{4}$$
   • $$\frac{9}{28}$$

5. Simplify the expression:$$\frac{3}{4}+\frac{5}{6}\times\frac{9}{10}-\frac{2}{3}\div\frac{1}{5}$$

   • $$-\frac{11}{6}$$
   • $$\frac{91}{24}$$
   • $$-\frac{10}{3}$$
   • $$\frac{3}{2}$$

6. The time it takes Mia to paint a fence is $$12$$ minutes, and the time it takes Noah to paint the same fence is $$9$$ minutes. What is the time it takes to paint the fence if both of them work together the full amount of time to do so?Combined work formula:$$\frac{1}{t_c}=\frac{1}{t_a}+\frac{1}{t_b}$$$$t_a$$​ = Time for $$a$$ to complete the work$$t_b$$​ = Time for $$b$$ to complete the work$$t_c$$ = Time for both $$a$$ and $$b$$ to complete the work

   • $$\frac{1}{12}$$
   • $$\frac{7}{36}$$
   • $$\frac{1}{9}$$
   • $$5\frac{1}{7}$$