40/24 in simplest form
Understand the Problem
The question is asking to simplify the fraction 40/24 to its simplest form. This involves finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by that number.
Answer
The simplest form of the fraction is $\frac{5}{3}$.
Answer for screen readers
The simplest form of the fraction $\frac{40}{24}$ is $\frac{5}{3}$.
Steps to Solve
- Find the Greatest Common Divisor (GCD)
To simplify the fraction $\frac{40}{24}$, we first need to find the GCD of 40 and 24. The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The largest common factor is 8. So, the GCD of 40 and 24 is 8.
- Divide the Numerator and Denominator by the GCD
Next, we simplify the fraction by dividing both the numerator (40) and the denominator (24) by their GCD (8):
$$ \frac{40 \div 8}{24 \div 8} = \frac{5}{3} $$
- Write the Simplified Fraction
The fraction $\frac{40}{24}$ simplified to its simplest form is $\frac{5}{3}$.
The simplest form of the fraction $\frac{40}{24}$ is $\frac{5}{3}$.
More Information
The fraction $\frac{5}{3}$ is an improper fraction since the numerator is greater than the denominator. It can also be expressed as a mixed number: $1 \frac{2}{3}$.
Tips
- Forgetting to find the GCD correctly can lead to incorrect simplifications.
- Failing to simplify both the numerator and denominator by the GCD, leading to a non-simplified fraction.
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