Here is the equation:
[tex] 5 \times x = \frac{1}{4} [/tex]
To find x, move 5 to the other side.
[tex] 5 \times x = \frac{1}{4} \rightarrow x = \frac{1}{4} \div 5 [/tex]
- In the beginning, you were multiplying 5. Since you moved it, the sign will change. That's why you're going to be dividing.
Here is the new equation:
[tex] \frac{1}{4} \div 5 [/tex]
When dividing fractions, you have to: Keep, Change, Flip
[tex] Keep\ \frac{1}{4} \\ Change\ \div\ to\ \times \\ Flip\ 5 \rightarrow \frac{1}{5} [/tex]
Your new equation is:
[tex] \frac{1}{4} \times \frac{1}{5} [/tex]
Multiply:
[tex] \frac{1}{4} \times \frac{1}{5} = \frac{1}{20} [/tex]
Your answer is the 2nd choice, x = [tex] \frac{1}{20} [/tex]
