24/40 in simplest form
Understand the Problem
The question is asking how to simplify the fraction 24/40 to its simplest form. This involves finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by that number.
Answer
The simplified form of the fraction \( \frac{24}{40} \) is \( \frac{3}{5} \).
Answer for screen readers
The simplified form of the fraction ( \frac{24}{40} ) is ( \frac{3}{5} ).
Steps to Solve
- Find the GCD (Greatest Common Divisor)
To simplify the fraction, we first need to determine the GCD of the numerator (24) and the denominator (40). The GCD is the largest number that divides both numbers.
- List the factors of each number
Let's find the factors of both for clarity:
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
- Identify the largest common factor
From the factors listed above, the largest common factor is 8, which means: $$ \text{GCD}(24, 40) = 8 $$
- Divide both the numerator and denominator by the GCD
Now we simplify the fraction by dividing both the numerator and the denominator by the GCD (8): $$ \frac{24 \div 8}{40 \div 8} = \frac{3}{5} $$
- Write the simplified fraction
The fraction $ \frac{24}{40} $ simplified is: $$ \frac{3}{5} $$
The simplified form of the fraction ( \frac{24}{40} ) is ( \frac{3}{5} ).
More Information
Simplifying fractions makes them easier to work with in further calculations. The GCD helps to reduce the fraction to its most basic form. It's interesting to note that every fraction can be simplified if there is a common divisor larger than 1.
Tips
- Forgetting to find the GCD and just dividing by smaller numbers. Always check for the highest common factor.
- Not fully simplifying the fraction; ensure both the numerator and denominator are divided evenly.
AI-generated content may contain errors. Please verify critical information
