Learn: Fractions, Decimals, and Percentages

Welcome!Today we'll explore how to work with fractions, decimals, and percentages. These are key skills for solving problems in both maths and everyday life. Let’s break it down step by step!

What are Fractions?A fraction represents part of a whole. It has two parts: the numerator (top number) and the denominator (bottom number). Fractions are useful for dividing something into equal parts.

Converting Fractions to DecimalsTo convert a fraction to a decimal, divide the numerator by the denominator. For example, \( \frac{1}{4} \) equals 0.25 because 1 ÷ 4 = 0.25.

What are Percentages?A percentage is a way to express a number as a fraction of 100. For example, 25% means 25 out of 100. Percentages are often used for comparisons and calculating discounts.

Converting Decimals to PercentagesTo convert a decimal to a percentage, multiply the decimal by 100 and add the '%' symbol. For example, 0.75 becomes 75% because 0.75 × 100 = 75.

Converting Percentages to FractionsTo convert a percentage to a fraction, write the percentage as the numerator and 100 as the denominator, then simplify. For example, 50% becomes \( \frac{50}{100} \), which simplifies to \( \frac{1}{2} \).

Review Time!Great work! You've learned how to work with fractions, decimals, and percentages. Now let’s test your understanding with a few questions.