Answer:
a)[tex]-\frac{1}{12}[/tex]
d)[tex]-\frac{1}{8}[/tex]
Step-by-step explanation:
a) Find a common denominator. 12 (3 × 4 = 12)
Convert the fractions to have a denominator of 12.
[tex]\frac{2}{3}[/tex] → [tex]\frac{8}{12}[/tex]
[tex]\frac{3}{4}[/tex] → [tex]\frac{9}{12}[/tex]
[tex]\frac{8}{12}[/tex]- [tex]\frac{9}{12}[/tex] = [tex]-\frac{1}{12}[/tex]
d) Find a common denominator. 8 (4 × 2 = 8; 8 × 1 = 8)
Convert the fractions to have a denominator of 8.
[tex]\frac{3}{4}[/tex] → [tex]\frac{6}{8}[/tex]
[tex]\frac{5}{8}[/tex] → [tex]\frac{5}{8}[/tex]
- [tex]\frac{6}{8}[/tex] - (-[tex]\frac{5}{8}[/tex])=?
Remember, 2 subtractions signs cancel each other out.
- [tex]\frac{6}{8}[/tex] + [tex]\frac{5}{8}[/tex] = [tex]-\frac{1}{8}[/tex]
