Explanation:
The ratios are like fractions, they can be simplified. And since fractions are divisions in some occasions we can do the division in order to get a simpler number:
• 1 cup: 1/4 cup _ we can do the division with the KCF method: keep the first fraction, change division sign into multiplication sign and flip the second fraction:
[tex]1\colon\frac{1}{4}=1\times4=4[/tex]
• 2 cups : 2/3 cup
[tex]2\colon\frac{2}{3}=2\times\frac{3}{2}=3_{}[/tex]
• 15/2 cups : 2 1/2 cups
[tex]\frac{15}{2}\colon2\frac{1}{2}=\frac{15}{2}\colon\frac{5}{2}=\frac{15}{2}\times\frac{2}{5}=3[/tex]
• 2 1/2 cups : 5/6 cup
[tex]2\frac{1}{2}\colon\frac{5}{6}=\frac{5}{2}\colon\frac{5}{6}=\frac{5}{2}\times\frac{6}{5}=\frac{6}{2}=3[/tex]
• 3 3/4 cups : 2 cups
[tex]3\frac{3}{4}\colon2=\frac{15}{4}\colon2=\frac{15}{4}\times\frac{1}{2}=\frac{15}{8}[/tex]
• 2/3 cup : 1 cup
[tex]\frac{2}{3}\colon1=\frac{2}{3}\times1=\frac{2}{3}[/tex]
Answers:
The answers are the ones in a red rectangle:
