Mastering Fractions, Decimals, and Ratios

📋 Course Outline

1. Fractions in Decimals
2. Converting Fractions
3. Fraction of a Quantity
4. Percentages Calculation
5. Percentage Increase/Decrease
6. Interest and GST
7. Ratio Simplification
8. Ratio Conversion and Splitting
9. Rate Calculations
10. Standard Form Numbers

📖 1. Fractions in Decimals

🔑 Key Concepts & Definitions

• Converting decimal amounts spent into fractions using calculator (SD button):
  This process involves entering the decimal amount as the numerator and the total amount as the denominator, then pressing the SD (simplify) button on the calculator to automatically reduce the fraction to its simplest form. For example, to convert $24.80 spent out of$40, input 24.80/40, then press SD to get 31/50.

• Subtracting fractions from a whole to find remaining fraction:
  To determine the part of a whole that remains after subtracting fractions, convert the fractions to a common denominator or decimal form, then subtract from 1 (the whole). For example, if you have 1/8 and 2/5, convert and subtract to find the remaining fraction.

• Finding the fraction of a quantity by dividing by the denominator and multiplying by the numerator:
  To find a specific fraction of a quantity, divide the total by the denominator, then multiply the result by the numerator. For example, to find 3/7 of 560kg, divide 560 by 7, then multiply by 3, resulting in 240kg.