21/35 in simplest form
Understand the Problem
The question is asking to simplify the fraction 21/35 to its simplest form by finding the greatest common divisor (GCD) of the numerator and the denominator.
Answer
The simplified fraction is $\frac{3}{5}$.
Answer for screen readers
The simplified form of the fraction $\frac{21}{35}$ is $\frac{3}{5}$.
Steps to Solve
- Identify the GCD of 21 and 35
To simplify the fraction, we first need to find the greatest common divisor (GCD) of the numbers 21 and 35.
- The factors of 21 are: 1, 3, 7, 21.
- The factors of 35 are: 1, 5, 7, 35.
The largest factor that they share is 7, so the GCD is 7.
- Divide both the numerator and the denominator by the GCD
Once we have the GCD, we divide both the numerator (21) and the denominator (35) by 7.
$$ \frac{21 \div 7}{35 \div 7} $$
- Calculate the simplified fraction
Now, we perform the division:
$$ \frac{3}{5} $$
Thus, the simplified fraction is $\frac{3}{5}$.
The simplified form of the fraction $\frac{21}{35}$ is $\frac{3}{5}$.
More Information
Simplifying fractions to their lowest terms helps in making calculations easier and clearer. It also enhances understanding of ratios and proportions.
Tips
- Not finding the correct GCD: Make sure to find all factors properly.
- Forgetting to apply the GCD to both the numerator and denominator: Always divide both parts of the fraction.
