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.

How to Add Three or More Fractions with Like Denominators

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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