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Adding fractions with the same denominator

Theory

How do you add fractions with the same denominator?

In a fraction, the denominator tells you how many equal parts the whole is divided into.

The numerator tells you how many of those parts you have.

Fractions with the same denominator have the same denominator, so the parts are the same size. Add only the numerators and keep the denominator the same.

  1. Add the numerators together.
  2. Write the new fraction
    Use the sum of the numerators as the new numerator. The denominator stays the same.
Calculate 312 + 812.
  1. 3 + 8 = 11
  2. Write the new fraction
    The new numerator is 11 and the denominator stays 12: 1112.

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