29/40 simplified
Understand the Problem
The question is asking to simplify the fraction 29/40 to its lowest terms. To do this, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by this number, if applicable.
Answer
The fraction simplifies to $\frac{29}{40}$.
Answer for screen readers
The simplified form of the fraction $\frac{29}{40}$ is $\frac{29}{40}$.
Steps to Solve
- Identify the numerator and denominator
The fraction we are working with is $\frac{29}{40}$. The numerator is 29, and the denominator is 40.
- Find the GCD of 29 and 40
To simplify the fraction, we need to determine the greatest common divisor (GCD) of the numbers 29 and 40. The GCD is the largest number that divides both 29 and 40 without leaving a remainder.
- The factors of 29 are: 1, 29 (since 29 is a prime number).
- The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40.
The only common factor is 1. Therefore, the GCD of 29 and 40 is 1.
- Simplify the fraction
Now that we have the GCD, we can simplify the fraction by dividing both the numerator and the denominator by the GCD:
$$ \frac{29 \div 1}{40 \div 1} = \frac{29}{40} $$
Since the GCD is 1, the fraction is already in its lowest terms.
The simplified form of the fraction $\frac{29}{40}$ is $\frac{29}{40}$.
More Information
The fraction $\frac{29}{40}$ is already in its simplest form since the GCD is 1. Prime numbers do not have any divisors apart from 1 and themselves, which is why 29 remains unchanged.
Tips
- Assuming that a fraction can be simplified if both numbers are odd or even. Always check the GCD.
