To simplify the ratio 10:15, follow these steps:
- Understand the ratio: The ratio 10:15 compares the quantities 10 and 15.
- Find the Greatest Common Divisor (GCD): Identify the largest number that divides both 10 and 15 exactly. The divisors of 10 are 1, 2, 5, 10; the divisors of 15 are 1, 3, 5, 15. The greatest common divisor is 5.
- Divide both terms of the ratio by the GCD:
- 10 ÷ 5 = 2
- 15 ÷ 5 = 3
- Write the simplified ratio: The simplified ratio is 2:3.
Final answer: The simplified form of the ratio 10:15 is 2:3.