GMAT Practice Question: If \frac{3}{10^{4}}=x \%, then x=
Question
If \frac{3}{10^{4}}=x \%, then x=
- 0.3
- 0.03
- 0.003
- 0.0003
- 0.00003
Topics: fractions, percentages, conversions
Solution
Step 1
We translate x\% into a fraction and set it equal to the given value
\frac{x}{100} = \frac{3}{10^4}
Step 2
We solve for x by multiplying both sides by 100 and then simplifying the powers of ten
\frac{x}{100}\times100 = \frac{3}{10^4}\times100 x = \frac{\cancel{100} \times 3}{\cancel{100} \times 10^2} = \frac{3}{10^2} = 0.03
Answer
0.03
