simplify 15/21
Understand the Problem
The question is asking us to simplify the fraction represented by the numbers 15 and 21. This involves finding the greatest common divisor (GCD) of both numbers and dividing them by that number to express the fraction in its simplest form.
Answer
\(\frac{5}{7}\)
Answer for screen readers
The final answer is (\frac{5}{7})
Steps to Solve
- Find the Greatest Common Divisor (GCD) of 15 and 21
To simplify the fraction, we first need to determine the GCD of 15 and 21.
the factors of 15 are: 1, 3, 5, 15
the factors of 21 are: 1, 3, 7, 21
The greatest common factor is 3.
- Divide both the numerator and the denominator by the GCD
Next, we divide both 15 (the numerator) and 21 (the denominator) by their GCD (which is 3):
$$\frac{15}{21} = \frac{15 \div 3}{21 \div 3} = \frac{5}{7}$$
- Write the simplified fraction
The simplified fraction is now (\frac{5}{7}).
The final answer is (\frac{5}{7})
More Information
Simplifying a fraction by using the Greatest Common Divisor (GCD) helps us find an equivalent fraction that is easier to work with and understand.
Tips
A common mistake is finding the least common multiple (LCM) instead of the GCD, which results in an incorrect simplification. Always ensure you identify the GCD during this process.
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