14/21 in simplest form
Understand the Problem
The question is asking how to simplify the fraction 14/21 to its lowest terms. To do this, we need to find the greatest common divisor (GCD) of the numerator and denominator and then divide both by this number.
Answer
The simplified form of $\frac{14}{21}$ is $\frac{2}{3}$.
Answer for screen readers
The simplified form of the fraction $\frac{14}{21}$ is $\frac{2}{3}$.
Steps to Solve
- Find the GCD (Greatest Common Divisor)
To simplify the fraction, first, we need to find the GCD of the numerator (14) and the denominator (21).
The GCD can be found by listing the factors of both numbers:
- Factors of 14: 1, 2, 7, 14
- Factors of 21: 1, 3, 7, 21
The highest common factor is 7. Thus, the GCD of 14 and 21 is 7.
- Divide Both the Numerator and Denominator by the GCD
Now that we have the GCD, we will divide both the numerator and the denominator by 7:
$$ \frac{14 \div 7}{21 \div 7} = \frac{2}{3} $$
- Write the Simplified Fraction
The final step is to write down the simplified fraction. After dividing, we have:
The simplified fraction is $\frac{2}{3}$.
The simplified form of the fraction $\frac{14}{21}$ is $\frac{2}{3}$.
More Information
This simplification shows that the fraction $\frac{14}{21}$ is equal to $\frac{2}{3}$, which is its lowest terms. This means that 14 and 21 can both be distributed into 2 and 3, respectively, without further reduction.
Tips
- Not finding the correct GCD: Ensure to list all factors properly.
- Dividing incorrectly: Always double-check division to avoid mistakes.
