Answer:
1/98
Step-by-step explanation:
Step 1: Translate statement into equation.
- [tex]\frac{1}{7}/x = 14[/tex]
- [tex]\frac{1}{7x}=14[/tex]
Step 2: Multiply both sides by 7x.
- [tex]\frac{1}{7x} * 7x = 14 * 7x[/tex]
- [tex]1 = 98x[/tex]
Step 3: Divide both sides by 98.
- [tex]\frac{1}{98} =\frac{98x}{98}[/tex]
- [tex]x = \frac{1}{98}[/tex]
Step 4: Check if solution is correct.
- [tex]\frac{1}{7}/\frac{1}{98}[/tex]
- [tex]\frac{1}{7}*98[/tex]
- [tex]14[/tex]
Therefore, the answer is 1/98.
