Respuesta :
Answer:
[tex]\frac{12}{35}[/tex]
Step-by-step explanation:
Given :
→ For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.
i.e, The ratio of red paint to blue paint is 3:5
→ For Purple Majesty, she used a blue to red paint ratio of 7 to 4.
i.e, The ratio of red paint to blue paint is 4:7
To find :
1) Compare the ratios of red paint to blue paint.
[tex]\frac{3}{5}\times \frac{4}{7}=\frac{12}{35}[/tex]
2) The ratio for Purple People Eater can be expressed in fraction form as :
[tex]=\frac{3}{5}[/tex]
3) The ratio for Purple Majesty can be expressed in fraction form as :
[tex]=\frac{7}{4}[/tex]
4) To compare these fractions, rewrite them with a common denominator
For common denominator
Multiply numerator and denominator by 4 in [tex]\frac{3}{5}[/tex]
[tex]\Rightarrow\frac{3\times 4}{5\times4}=\frac{12}{20}[/tex]
Multiply numerator and denominator by 5 in [tex]\frac{7}{4}[/tex]
[tex]\Rightarrow\frac{7\times 5}{5\times4}=\frac{35}{20}[/tex]
Common denominator is 20
