24/40 simplified
Understand the Problem
The question is asking to simplify the fraction 24/40 to its simplest form. To do this, we need to find the greatest common divisor (GCD) of the numerator and the denominator and then divide both by that number.
Answer
The simplest form of \( \frac{24}{40} \) 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 Greatest Common Divisor (GCD)
To simplify the fraction ( \frac{24}{40} ), we first need to find the GCD of the numbers 24 and 40.
- The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
- The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
The largest common factor between them is 8; hence, the GCD is 8.
- Divide the Numerator and Denominator by the GCD
Once we have the GCD, we divide both the numerator and the denominator of the fraction by 8:
[ \frac{24 \div 8}{40 \div 8} = \frac{3}{5} ]
- Write the Simplified Fraction
After performing the division, we arrive at the simplified fraction:
The simplest form of ( \frac{24}{40} ) is ( \frac{3}{5} ).
The simplified form of the fraction ( \frac{24}{40} ) is ( \frac{3}{5} ).
More Information
Simplifying fractions is important because it allows us to express the same quantity in a simpler form. In this case, ( \frac{24}{40} ) is equivalent to ( \frac{3}{5} ), which is easier to work with in calculations.
Tips
- A common mistake is forgetting to divide both the numerator and the denominator by the GCD. Always ensure both parts of the fraction are reduced.
- Another mistake is misidentifying the GCD; make sure to check all factors of both numbers.
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