Simplify 6:4

Understand the Problem

The question is asking us to simplify the ratio 6:4 to its simplest form by dividing both numbers by their greatest common divisor.

Answer

3:2
Answer for screen readers

The ratio 6:4 simplified is 3:2

Steps to Solve

["1. Find the Greatest Common Divisor (GCD)\n\n Calculate the GCD of 6 and 4. The GCD is the largest number that divides both numbers without leaving a remainder. \n\n The divisors of 6 are 1, 2, 3, and 6. \n\n The divisors of 4 are 1, 2, and 4. \n\n The common divisors are 1 and 2. The greatest common divisor is 2.\n\n2. Divide both terms by the GCD\n\n Divide both 6 and 4 by their GCD (2). \n\n \[\frac{6 \div 2}{4 \div 2} = \frac{3}{2}\]\n\n3. Write the ratio in simplest form\n\n The simplified ratio is 3:2."]

The ratio 6:4 simplified is 3:2

More Information

Ratios are simplified in the same way fractions are, by dividing by the greatest common divisor.

Tips

A common mistake is not finding the correct greatest common divisor or not dividing each number by the GCD correctly. Double check your GCD and calculations to avoid errors.

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