How to Add Fractions by Making Denominators Equal | MathoGuide

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How to Add Fractions by Making Denominators Equal | MathoGuide

To add fractions by making denominators equal, follow these steps:

1. Identify the denominators of the fractions you want to add.
2. Find the least common denominator (LCD) of the fractions. This is the smallest multiple that both denominators divide evenly into.
3. Rewrite each fraction with the LCD as the new denominator, using equivalent fractions.
4. Add the numerators of the fractions.
5. Keep the common denominator.
6. Simplify the fraction if necessary.

For example, to add 1/4 and 2/3:

1. Denominators are 4 and 3.
2. LCD is 12 (smallest multiple of 4 and 3).
3. Rewrite 1/4 as 3/12 and 2/3 as 8/12.
4. Add numerators: 3 + 8 = 11.
5. Keep the denominator as 12.
6. Result: 11/12.

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