Step-by-step explanation:
1. Divide 8 1/3 by 2 to find the value of x:
Turn 8 1/3 into an improper fraction:
[tex]8 \frac{1}{3} = \frac{3}{3} + \frac{3}{3} + \frac{3}{3} + \frac{3}{3} + \frac{3}{3} + \frac{3}{3} + \frac{3}{3} + \frac{3}{3} + \frac{1}{3} = \frac{25}{3} [/tex]
[tex] \frac{25}{3} \div \frac{2}{1} = ?[/tex]
Find the reciprocal (opposite) of 2/1, then multiply:
[tex] \frac{25}{3} \times \frac{1}{2} = \frac{25}{6} = \frac{6}{6} + \frac{6}{6} + \frac{6}{6} + \frac{6}{6} + \frac{1}{6} = 4 \frac{1}{6} [/tex]
x = 25/6 or 4 1/6
2. 8.1 can be put over 1:
Turn 2 1/3 into an improper fraction:
[tex]2 \frac{1}{3} = \frac{3}{3} + \frac{3}{3} + \frac{1}{3} = \frac{7}{3} [/tex]
[tex] \frac{7}{3} \div \frac{8.1}{1} = ?[/tex]
Find the reciprocal (opposite) of 8.1/1, then multiply:
[tex] \frac{7}{3} \times \frac{1}{8.1} = \frac{7}{24.3} [/tex]
7/24.3 is your simplified answer.
