Fractions
GradesFifth GradeFractionsAdding & Subtracting Unlike Fractions

Adding & Subtracting Unlike Fractions

🍕 Fractions
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Adding & Subtracting Unlike Fractions

Make them the same before you add or subtract!

Before adding or subtracting fractions, the denominators must be the same. When denominators are different (unlike), we find the Least Common Denominator (LCD) — the smallest number that both denominators divide into evenly — and rewrite each fraction.

Adding Unlike Fractions

1Find the LCD of the denominators
2Rewrite each fraction as an equivalent fraction with the LCD
3Add (or subtract) the numerators
4Keep the denominator the same
5Simplify if possible
13+14=412+312=712\frac{1}{3} + \frac{1}{4} = \frac{4}{12} + \frac{3}{12} = \frac{7}{12}
🍎Finding the LCD
Denominators 3 and 4: List multiples of 3: 3, 6, 9, 12, 15... List multiples of 4: 4, 8, 12, 16... The LCD is 12. Multiply 1/3 by 4/4 and 1/4 by 3/3.
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Multiplying the top and bottom by the same number creates an equivalent fraction — you are multiplying by 1!

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Remember This!

If you can't find the LCD quickly, just use the product of the two denominators. You might need to simplify at the end, but it always works.

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