GoMim AI | 18/30 simplified

How to Calculate it Step-by-Step

To simplify 18/30, follow these steps:

1. Identify the Greatest Common Divisor (GCD):

- List the factors of 18: 1, 2, 3, 6, 9, 18

- List the factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

- The common factors are 1, 2, 3, and 6. The greatest common factor is 6.

2. Divide the Numerator and Denominator by the GCD:

- Divide 18 by 6 = 3

- Divide 30 by 6 = 5

3. Write the Simplified Fraction:

- Therefore, 18/30 simplifies to 3/5.

Example:

Suppose you have to simplify the fraction 24/36.

- GCD of 24 and 36 is 12.

- 24 ÷ 12 = 2

- 36 ÷ 12 = 3

- Thus, 24/36 simplifies to 2/3.

Related Practice Problem

Problem: You have a recipe that requires 18 parts of sugar and 30 parts of flour. How can you simplify this ratio to its simplest form to determine the proportion of sugar to flour?

Step-by-step Solution:

1. Identify the GCD of 18 and 30:

- Factors of 18: 1, 2, 3, 6, 9, 18

- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

- The GCD is 6.

2. Divide both quantities by the GCD:

- Sugar: 18 ÷ 6 = 3

- Flour: 30 ÷ 6 = 5

3. Write the Simplified Ratio:

- The ratio of sugar to flour simplifies to 3:5.

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