How to Add Three or More Fractions with Like Denominators
Adding fractions with like denominators involves adding the numerators of the fractions and keeping the denominator the same.
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A Step-by-step Guide to Add Three or More Fractions with Like Denominators
Here is a step-by-step guide for adding three or more fractions with like denominators:
Step 1: Confirm Like Denominators
Since you’ve stated that fractions have like denominators, we can skip this step. If the denominators were different, you would need to find a common denominator before proceeding.
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Step 2: Write down your fractions
For the purposes of this guide, let’s use the example fractions \(\frac{2}{8}, \frac{3}{8}\), and \(\frac{5}{8}\).
Step 3: Add the numerators:
The numerator is the top number of the fraction. Simply add these together while keeping the denominator the same. Using our example fractions, the calculation is: \(\frac{2}{8} + \frac{3}{8} + \frac{5}{8} = \frac{2+3+5}{8} = \frac{10}{8}\).
Step 4: Simplify the fraction, if necessary
If the resulting fraction can be simplified, do so. A fraction can be simplified if the numerator and denominator have common factors. In our example, 10 and 8 have a common factor of 2, so you can divide both by 2 to simplify the fraction: \(\frac{10}{8 }= \frac{5}{4}\).
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Step 5: Convert to a mixed number, if necessary
If the resulting fraction is improper (the numerator is larger than the denominator), you can convert it to a mixed number. A mixed number has a whole number part and a fractional part. In our example, \(\frac{5}{4 }= \frac{1 1}{4}\).
Remember, this process only works smoothly when the fractions have the same denominator. If they do not, you need to find a common denominator first, which can involve multiplying the fractions by appropriate factors.
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