28/32 in simplest form
Understand the Problem
The question is asking to reduce the fraction 28/32 to its simplest form, which involves finding the greatest common divisor of the numerator and denominator and dividing both by that number.
Answer
The simplest form of the fraction is $\frac{7}{8}$.
Answer for screen readers
The simplest form of the fraction $\frac{28}{32}$ is $\frac{7}{8}$.
Steps to Solve
- Find the Greatest Common Divisor (GCD)
To simplify the fraction $\frac{28}{32}$, we first need to find the GCD of 28 and 32.
The factors of 28 are: 1, 2, 4, 7, 14, 28.
The factors of 32 are: 1, 2, 4, 8, 16, 32.
The highest common factor is 4.
- Divide the Numerator and Denominator by the GCD
Now, divide both the numerator and the denominator by their GCD, which is 4.
For the numerator: $$ \frac{28}{4} = 7 $$
For the denominator: $$ \frac{32}{4} = 8 $$
- Write the Simplified Fraction
Now, we can write the fraction in its simplest form.
Thus, the simplified fraction is: $$ \frac{7}{8} $$
The simplest form of the fraction $\frac{28}{32}$ is $\frac{7}{8}$.
More Information
Simplifying fractions helps make calculations easier and is fundamental in understanding ratios. The GCD is crucial since it allows us to reduce fractions accurately without changing their value.
Tips
- Misidentifying the GCD: Double-check the factors to confirm the GCD.
- Forgetting to divide both numerator and denominator: Always simplify both parts of the fraction to maintain equality.