Answer:
24a ) [tex]\frac{7}{8}[/tex]
24b) [tex]1\frac{4}{5}[/tex]
17) 84 hours
Step-by-step explanation:
24a) [tex]\frac{1}{2} *\frac{3}{4} +\frac{3}{2} *\frac{1}{3}[/tex]
Using BIDMAS
B = Brackets
I = Indices
D = Division
M = Multiplication
A = Addition
S = Subtraction
⇒ The first step is multiplication so,
→ [tex]\frac{1}{2} *\frac{3}{4} +\frac{3}{2} *\frac{1}{3}[/tex] = [tex]\frac{3}{8} +\frac{3}{6}[/tex] = [tex]\frac{3}{8} +\frac{3}{6} =\frac{9}{24} +\frac{12}{24} =\frac{21}{24} =\frac{7}{8}[/tex]
24b) [tex]1\frac{1}{2} / (1\frac{1}{2} -\frac{2}{3} )[/tex]
⇒ The first step is the brackets so
→ [tex]1\frac{1}{2} / (1\frac{1}{2} -\frac{2}{3} )[/tex] = [tex]1\frac{1}{2} -\frac{2}{3} =1\frac{3}{6} -\frac{4}{6} =\frac{9}{6} -\frac{4}{6} =\frac{5}{6}[/tex]
⇒ Then we divide [tex]\frac{5}{6}[/tex] by [tex]1\frac{1}{2}[/tex]
→ [tex]1\frac{1}{2} / \frac{5}{6} =\frac{3}{2} /\frac{5}{6} =\frac{3}{2}*\frac{6}{5} =\frac{18}{10} =1\frac{8}{10} =1\frac{4}{5}[/tex]
17) [tex]3\frac{1}{2}[/tex] = 3.5 days
1 day = 24 hours
0.5 days = 12 hours so,
( 24 × 3 ) + 12 = 72 + 12 = 84
