Answer:
1. [tex]266\dfrac{2}{3}\%[/tex]
2. [tex]400\%[/tex]
Step-by-step explanation:
1. Fraction [tex]\frac{1}{4}[/tex] is 100%, then
[tex]\dfrac{1}{4} - 100\%\\ \\\dfrac{2}{3} - x\%[/tex]
Write a proportion:
[tex]\dfrac{\frac{1}{4}}{\frac{2}{3}}=\dfrac{100}{x}[/tex]
Cross multiply:
[tex]\dfrac{1}{4}x=\dfrac{2}{3}\cdot 100\\ \\x=4\cdot \dfrac{2}{3}\cdot 100\\ \\x=\dfrac{800}{3}\\ \\x=266\dfrac{2}{3}\%[/tex]
2. Fraction [tex]\frac{1}{6}[/tex] is 100%, then
[tex]\dfrac{1}{6} - 100\%\\ \\\dfrac{2}{3} - x\%[/tex]
Write a proportion:
[tex]\dfrac{\frac{1}{6}}{\frac{2}{3}}=\dfrac{100}{x}[/tex]
Cross multiply:
[tex]\dfrac{1}{6}x=\dfrac{2}{3}\cdot 100\\ \\x=6\cdot \dfrac{2}{3}\cdot 100\\ \\x=\dfrac{1,200}{3}\\ \\x=400\%[/tex]
