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How do I solve equations with fractions?

How do I solve equations with fractions?-example-1

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2y - 3/5 = 1/2

  • Add 3/5 to both sides.

2y = 1/2 + 3/5

  • Let's make the two fractions have common denominators.
  • Multiply 1/2 by 5/5 and 3/5 by 2/2.
  • 1/2 * 5/5 = 5/10
  • 3/5 * 2/2 = 6/10

2y = 5/10 + 6/10

Add the two fractions.

2y = 11/10

Divide both sides by 2.

  • 11/10 ÷ 2
  • Use the Keep, Change, Flip method.
  • Keep 11/10, change ÷ to ×, and flip the 2 (reciprocal).
  • 11/10 × 1/2 = 11/20

y = 11/20

User Jerome Escalante
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