6/56 simplified
Understand the Problem
The question is asking to simplify the fraction 6/56 to its lowest terms. This typically involves finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by that number.
Answer
The simplified fraction is $\frac{3}{28}$.
Answer for screen readers
The simplified fraction is $\frac{3}{28}$.
Steps to Solve
- Find the GCD of 6 and 56
First, we need to identify the greatest common divisor (GCD) of 6 and 56. The factors of 6 are 1, 2, 3, and 6. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56. The largest common factor is 2.
- Divide both the numerator and the denominator by the GCD
Next, we simplify the fraction by dividing both the top and bottom by the GCD, which is 2: $$ \frac{6 \div 2}{56 \div 2} $$
- Calculate the simplified values
After performing the division, we have: $$ \frac{3}{28} $$
This means that the fraction has been simplified to its lowest terms.
The simplified fraction is $\frac{3}{28}$.
More Information
Simplifying fractions means reducing them to their simplest form, where the numerator and denominator have no common factors other than 1. This is important in many aspects of math, especially in algebra and calculus.
Tips
- Forgetting to find the GCD before dividing: Always ensure you find the GCD of both numbers to simplify correctly.
