Respuesta :

9. 1/18

10. 1/18

Here is how I got my answer for 9:

Step 1: Simply [tex] 9/54 [/tex] to [tex] 1/6 [/tex]. Which leaves us with [tex] 1/6 [/tex] - [tex] 1/9 [/tex]

Step 2: Find the least common denominator, which is 18.

Step 3: Make the denominators the same as the least common denominator. By multiplying [tex] 6*3 [/tex] and [tex] 9*2 [/tex]. Which leaves us with [tex] 3/18 [/tex] - [tex] 2/18 [/tex].

Step 4: Subtract 3 and two, giving you your answer: [tex] 1/18 [/tex]

Here is how I got my answer for 10:

Step 1: Simplify [tex] 6/12 [/tex] to [tex] 1/2 [/tex]. Which leaves us with [tex] 1/2 [/tex] - [tex] 4/9 [/tex]

Step 2: Find the least common denominator, which is 18.

Step 3: Make the denominators the same as the least common denominator by multiplying [tex] 2*9 [/tex] and [tex] 9*2 [/tex]. Which leaves us with [tex] 9/18 - 8/18 [/tex].

Step 4: Subtract 9 and 8, giving you your answer: [tex] 1/18 [/tex]

Answer to 9:

  1. Make your denominators the same. Since 9 goes into 54 6 times, multiply the numerator and denominator of -1/9 by 6. [tex] \frac{-6}{54} =\frac{-1}{9} [/tex]
  2. Add numerators together. [tex] \frac{9}{54} +\frac{-6}{54} = \frac{3}{54}
    [/tex]
  3. Reduce and your answer should be 1/18

Answer to 10:

  1. Find the LCM (least common multiple), which is 36.
  2. Multiply the numerator and denominator from 6/12 by 3 to get it to have a similar denominator as the second fraction.
  3. Multiply numerator and denominator from -4/9 by 4 to get to same denominator as the first fraction.
  4. Add the fractions together and reduce. [tex] \frac{18}{36}+\frac{-16}{36}=\frac{2}{36}=\frac{1}{18} [/tex]
  5. Your answer should be 1/18.