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Fractions-DECODED!

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Fractions - Basics

Naming Fractions I

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Fraction as a Number

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Simplify, Expand, Common Denominator

Expanding Fractions I

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### Multiplying and Dividing

Multiplication and Division

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### Adding and Subtracting

Addition and Subtraction

Addition Fraction plus Whole Number

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### All together ...

LĂ¤ngere Bruchaufgaben

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

Subtract the mixed numbers.

First, convert the mixed numbers to improper fractions.

Two fractions are subtracted by expanding them to the common denominator and then subtracting 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 Subtraction Fraction minus Fraction - The Thought Experiment

**Step 1: convert the mixed numbers**

4 | 13 | = | 13 + 4 × 16 | = | 77 |

16 | 16 | 16 |

2 | 3 | = | 3 + 2 × 8 | = | 19 |

8 | 8 | 8 |

**Step 2: Determine the common denominator:**

The common denominator is equal to the lowest common multiple (LCM) of the two denominators: 16 is a multiple of 8. Therefore the common denominator is **16**

**Step 3: Expand to the common denominator:**

Expand the second fraction with the number 2

77 | - | 19 | = | 77 | - | 19 × 2 | = | 77 | - | 38 |

16 | 8 | 16 | 8 × 2 | 16 | 16 |

**Step 4: Subtract the numerators:**

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

77 | - | 38 | = | 77 - 38 | = | 39 |

16 | 16 | 16 | 16 |

**Step 5: Check whether the result can be simplified**

The result can not be simplified.

**Step 6: Convert into a mixed number**

Divide the numerator by the denominator. The result is the *whoe number*, the remainder is the *numerator* of the mixed number. The *denominator* remains unchanged:

39 ÷ 16 = 2 Remainder 7

Whole Number: **2**

Numerator: **7**

Denominator: **16**

39 | = 2 | 7 |

16 | 16 |