Addition of More than two Fractions by making equal Denominators | MathoGuide
To add more than two fractions with different denominators, find a common denominator for all fractions. Once you have the common denominator, add the numerators and keep the denominator unchanged. Simplify the result if necessary.
Let's go through the steps to add more than two fractions with different denominators:
1. *Find a Common Denominator:*
Identify the least common denominator (LCD) for all the fractions. This is the smallest multiple that each denominator divides into evenly.
2. *Convert Fractions:*
For each fraction, rewrite it with the common denominator. You do this by multiplying the numerator and denominator by the same factor that turns the original denominator into the common denominator.
3. *Add Numerators:*
Add the numerators of all the fractions together. The denominator remains the same since you've made them equivalent.
4. *Simplify if Necessary:*
Simplify the resulting fraction by finding the greatest common factor (GCF) of the numerator and denominator and dividing both by it.
11 сен 2024
