When comparing two ratios, determining whether they are equivalent is a fundamental skill in mathematics. In many real-world scenarios, such as scaling recipes, adjusting blueprints, or analyzing financial data, knowing whether two ratios are equivalent allows us to maintain proportional relationships accurately. Also, a ratio represents a relationship between two numbers, often written as a fraction or using a colon. A common question that arises in these contexts is whether the ratios 6:5 and 4:3 are equivalent Most people skip this — try not to..
To determine if the ratios 6:5 and 4:3 are equivalent, we can use cross-multiplication, a standard method for comparing ratios. Converting them to fractions, we have 6/5 and 4/3. Cross-multiplying gives:
- 6 × 3 = 18
- 5 × 4 = 20
Since 18 ≠ 20, the ratios are not equivalent.
Another approach is converting the ratios to
