### There are 3 Simple Steps to add fractions:

Step 1: Make sure the bottom numbers (the denominators) are the same

Step 2: Add the top numbers (the numerators). Put the answer over the the same denominator as in step 1

Step 3: Simplify the fraction.

### Example 1:

1 | + | 1 |

4 | 4 |

Step 1. The bottom numbers are already the same. Go straight to step 2.

Step 2. Add the top numbers and put the answer over the same denominator:

1 | + | 1 | = | 1 + 1 | = | 2 |

4 | 4 | 4 | 4 |

Step 3. Simplify the fraction:

2 | = | 1 |

4 | 2 |

(If you are unsure of the last step see the equivalent fractions page)

### Example 2:

1 | + | 1 |

3 | 6 |

Step 1. The bottom numbers are now different. We need to make them the same:

1 | = | 2 |

3 | 6 |

Step 2. Add the top numbers and put them over the same denominator:

2 | + | 1 | = | 2 + 1 | = | 3 |

6 | 6 | 6 | 6 |

Step 3. Simplify the fraction:

3 | = | 1 |

6 | 2 |

**Adding Fractions with Different Denominators**

**Adding Fractions with Different Denominators**

To Add Fractions with different denominators:

Find the Lowest Common Denominator (LCD) of the fractionsAdd in the new numbers to the fractions to have the LCDAdd the numerators of the fractionsSimplify the Fraction

Example: Find the Sum of 2/9 and 3/12

Determine the Greatest Common Factor of 9 and 12 which is 3Either multiply the denominators and divide by the GCF (9*12=108, 108/3=36)OR - Divide one of the denominators by the GCF and multiply the answer by the other denominator (9/3=3, 3*12=36)Rename the fractions to use the Least Common Denominator(2/9=8/36, 3/12=9/36)The result is 8/36 + 9/36Add the numerators and put the sum over the LCD = 17/36Simplify the fraction if possible. In this case it is not possible

@ pictures from various sites

## 1 comment:

and i'm still confused!!!!! this is so freakin hard!!!!

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