01
What is a Ratio?
A ratio is a way of expressing the relationship between two quantities. Written as A:B and read as "A to B". For example, 3:2 means the first quantity is 1.5 times the second. Ratios are used for comparing sizes, amounts, speeds, and more.
02
Importance of Ratio Simplification
Converting a complex ratio to its simplest form is called ratio simplification. For example, 12:8 simplifies to 3:2. Find the greatest common divisor (GCD) and divide both sides to get the simplest form. Simplified ratios are easier to understand and more practical.
03
Using Ratios in Cooking
Ratios are crucial when scaling recipes up or down. If the original recipe uses ingredients in a 2:3 ratio, doubling the amount should maintain the same ratio (4:6 or 2:3). Accurate ratios are key to taste in cake batter, sauce making, and beverage mixing.
04
The Golden Ratio in Architecture and Design
The golden ratio (1:1.618) is known as the most aesthetically pleasing proportion. Used from ancient Greek architecture to modern design. Applying the golden ratio to business cards, smartphone screens, photo composition, etc., creates visually stable and harmonious results.
05
Aspect Ratios in Photography and Video
Aspect ratio is the ratio of width to height in images or videos. 16:9 is the standard for HD video, 4:3 is the traditional TV ratio, and 1:1 is Instagram's square format. Choosing the appropriate ratio for your purpose helps deliver content effectively.
06
Ratio Analysis in Finance and Business
Financial ratios are key indicators for evaluating company health. Various ratios like debt-to-equity, current ratio, and gross profit margin analyze profitability, stability, and efficiency. Ratio analysis is essential for making investment decisions and evaluating business performance.