Expressing One Number as a Fraction or Percentage of Another
To express one number as a fraction of another, write the first number (the part) over the second number (the whole), then simplify if possible.
$$
\text{fraction} = \frac{\text{part}}{\text{whole}}
$$
For example, expressing \(12\) as a fraction of \(20\):
$$
\frac{12}{20} = \frac{3}{5}
$$
To express one number as a percentage of another, first form the fraction, then convert it into a percentage by multiplying by \(100\).
$$
\text{percentage} = \frac{\text{part}}{\text{whole}} \times 100
$$
For example, expressing \(15\) as a percentage of \(60\):
$$
\frac{15}{60} = \frac{1}{4}
$$
$$
\frac{1}{4} = 25%
$$
You can also calculate the percentage directly using division:
$$
15 \div 60 = 0.25
$$
$$
0.25 = 25%
$$
Always identify the correct whole before forming the fraction or percentage. Reversing the numbers will give the wrong answer, even though the calculation method is correct.