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Fractions-DECODED!

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Fractions-DECODED!

Complex Calculator

Naming Fractions I

Naming Fractions II

Naming Mixed Numbers

Mixed Number to Fraction

Fraction to Mixed Number

Reciprocal

Expanding Fractions I

Expanding Fractions II

Expanding Fractions III

Is A divisible by B?

Simplifying Fractions I

Simplifying Fractions II

Simplifying Fractions III

Simplifying Fractions IV

Simplifying Fractions V

Prime Numbers

Multiplying Fractions

Dividing Fractions

Addition Fraction plus Whole Number

Adding Fractions

Adding Mixed Numbers

Whole Number minus Fraction

Subtracting Fractions

Subtracting Mixed Numbers

Add the two fractions.

Two fractions are added by expanding them to the common denominator and then adding their numerators.

Check whether the result can be simplified.

If you would like to have a vivid explanation with a detailed example, please read the page Addition Fraction plus Fraction - Pizza Roma with lots of cheese, please!

**Step 1: Determine the common denominator:**

The common denominator is equal to the lowest common multiple (LCM) of the two denominators: 10 is a multiple of 5. Therefore the common denominator is **10**

**Step 2: Expand to the common denominator:**

Expand the second fraction with the number 2

1 | + | 2 | = | 1 | + | 2 × 2 | = | 1 | + | 4 |

10 | 5 | 10 | 5 × 2 | 10 | 10 |

**Step 3: Add the numerators:**

Since the two fractions have a common denominator, you can add:

1 | + | 4 | = | 1 + 4 | = | 5 |

10 | 10 | 10 | 10 |

**Step 4: Check whether the result can be simplified**

The result can be simplified by the number 5:

5 | = | 5 ÷ 5 | = | 1 |

10 | 10 ÷ 5 | 2 |