24/35 in simplest form
Understand the Problem
The question is asking how to simplify the fraction 24/35 to its simplest form, which involves finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.
Answer
The simplest form of the fraction $\frac{24}{35}$ is $\frac{24}{35}$.
Answer for screen readers
The simplest form of the fraction $\frac{24}{35}$ is $\frac{24}{35}$.
Steps to Solve
- Find the GCD of 24 and 35
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator (24) and the denominator (35). The GCD is the largest number that divides both numbers without leaving a remainder.
- The factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- The factors of 35: 1, 5, 7, 35
The only common factor is 1. Therefore, the GCD is 1.
- Divide both the numerator and denominator by the GCD
Now that we have the GCD, we will divide both the numerator and denominator by the GCD to simplify the fraction:
$$ \frac{24 \div 1}{35 \div 1} = \frac{24}{35} $$
- Conclude the simplification
Since the GCD is 1, the fraction $\frac{24}{35}$ is already in its simplest form.
The simplest form of the fraction $\frac{24}{35}$ is $\frac{24}{35}$.
More Information
The fraction $\frac{24}{35}$ is already simplified, which means that there are no common factors between 24 and 35 other than 1. This is often a common situation with fractions that involve relatively small integers.
Tips
- A common mistake is to incorrectly find the GCD by overlooking other factors. To avoid this, it's useful to list all the factors clearly.
- Confusing the GCD with the product of the numbers; remember, the GCD is the highest factor, not their combined multiplication.
