🔢 Fraction Mastery: Flip, Convert & Conquer!

Ever wondered how shop discounts, exam scores, and recipe adjustments are all connected? They all rely on fractions, decimals, and percentages! Mastering these conversions is **essential** for success at O Level Maths and for real-life problem solving.

Fractions ⇄ Decimals ⇄ Percentages

Remember: to convert a fraction to a decimal, divide the numerator by the denominator. Multiply the decimal by

100

to get a percentage. To reverse, divide by

100

to go from percentage to decimal, then write the decimal as a fraction **in its simplest form**.

Key point 1: $\frac{a}{b} \rightarrow \text{decimal} = a \div b$ and $\text{percentage} = (a \div b) \times 100\%$
Key point 2: $x\% \rightarrow \text{decimal} = \dfrac{x}{100}$ and then write as a simplified fraction.

Worked Example: Converting & Calculating

Problem: Express

\dfrac{3}{5}

as a decimal and a percentage, then find

25\%

80

Step 1:
$\frac{3}{5}=0.6 \quad\Rightarrow\quad 0.6 \times 100\% = 60\%$
Step 2:
$25\% \times 80 = \frac{25}{100} \times 80 = 20$

Practice converting between forms daily, and soon you will tackle exam questions with **confidence** and speed!