Answer:
Part 1) [tex]\frac{3}{1}[/tex] or [tex]3:1[/tex]
Part 2) [tex]\frac{5}{24}[/tex] or [tex]5:24[/tex]
Part 3) [tex]\frac{6}{5}[/tex] or [tex]6:5[/tex]
Step-by-step explanation:
Part 1) we have
[tex]1.44 : 0.48[/tex]
Rewrite
[tex]\frac{1.44}{0.48}[/tex]
Multiply by 100 both numerator and denominator
[tex]\frac{144}{48}[/tex]
Simplify
[tex]\frac{3}{1}[/tex] or [tex]3:1[/tex]
Part 2) we have
[tex]15/28:18/7[/tex]
Multiply the term 18/7 by 4 both numerator and denominator
[tex]\frac{18*4}{7*4}=\frac{72}{28}[/tex]
substitute
[tex]15/28:72/28[/tex]
simplify
[tex]15:72[/tex]
Rewrite
[tex]\frac{15}{72}[/tex]
Simplify
[tex]\frac{5}{24}[/tex] or [tex]5:24[/tex]
Part 3) we have
[tex]2.4:6/5[/tex]
Remember that
[tex]6/5=1.2[/tex]
substitute
[tex]2.4:1.2[/tex]
Simplify
Divide by 1.2 both numbers
[tex]1.2:1[/tex]
Rewrite
[tex]\frac{1.2}{1}[/tex]
Multiply by 10 both numerator and denominator
[tex]\frac{1.2*10}{1*10}=\frac{12}{10}[/tex]
Simplify
[tex]\frac{6}{5}[/tex] or [tex]6:5[/tex]
