20/16 in simplest form
Understand the Problem
The question is asking for the simplest form of the fraction 20/16. To solve this, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by that number.
Answer
The simplest form of the fraction is $\frac{5}{4}$.
Answer for screen readers
The simplest form of the fraction $\frac{20}{16}$ is $\frac{5}{4}$.
Steps to Solve
- Find the GCD of 20 and 16
The first step is to determine the greatest common divisor (GCD) of the numbers 20 and 16. The GCD is the largest number that divides both 20 and 16 without leaving a remainder.
The factors of 20 are: 1, 2, 4, 5, 10, 20
The factors of 16 are: 1, 2, 4, 8, 16
The common factors are: 1, 2, 4
Thus, the GCD is 4.
- Divide both the numerator and denominator by the GCD
Next, we divide both the numerator (20) and the denominator (16) by the GCD (4).
$$ \text{Numerator: } \frac{20}{4} = 5 $$
$$ \text{Denominator: } \frac{16}{4} = 4 $$
- Write the simplified fraction
Finally, we write the simplified form of the fraction using the results from the previous step. The simplified fraction of $\frac{20}{16}$ is:
$$ \frac{5}{4} $$
The simplest form of the fraction $\frac{20}{16}$ is $\frac{5}{4}$.
More Information
The fraction $\frac{5}{4}$ is an improper fraction, meaning the numerator is larger than the denominator. It can also be expressed as a mixed number: $1 \frac{1}{4}$.
Tips
- Failing to find the GCD correctly can lead to an incorrect simplification of the fraction. To avoid this, make sure to list out the factors or use the Euclidean algorithm for larger numbers.
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