Less trouble in Maths and better grades!

Easy-to-read examples and step-by-step instructions

**decode EVERYTHING about fractions.**

Welcome Page - Practice

Fractions-DECODED!

### Online Calculators

Simple Calculator

Complex Calculator

### Online Practice:

### Basics

Fractions - Basics

Naming Fractions I

Naming Fractions II

Naming Mixed Numbers

Mixed Number to Fraction

Fraction to Mixed Number

Reciprocal

### Fraction as a Number

Fraction as a Number

### Toolbox

Simplify, Expand, Common Denominator

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 and Dividing

Multiplication and Division

Multiplying Fractions

Dividing Fractions

### Adding and Subtracting

Addition and Subtraction

Addition Fraction plus Whole Number

Adding Fractions

Adding Mixed Numbers

Whole Number minus Fraction

Subtracting Fractions

Subtracting Mixed Numbers

### 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

Add the mixed numbers.

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 (supplementary calculation): Addthe two fractions**

As a first step only add the two fractions in a supplementary calculation. We deal with the whole-number parts later in the second step:

**Step 1.1: 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 1.2: Expand to the common denominator:**

Expand the first fraction with the number 2

5 | + | 11 | = | 5 × 2 | + | 11 | = | 10 | + | 11 |

8 | 16 | 8 × 2 | 16 | 16 | 16 |

**Step 1.3: Add the numerators:**

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

10 | + | 11 | = | 10 + 11 | = | 21 |

16 | 16 | 16 | 16 |

**Step 1.4: Check whether the result can be simplified**

The result can not be simplified.

**Step 1.5: Convert into a mixed number**

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

21 ÷ 16 = 1 Remainder 5

Whole Number: **1**

Numerator: **5**

Denominator: **16**

21 | = 1 | 5 |

16 | 16 |

**Step 2: Calculate the result**

**Step 2.1: fraction part of the result**

The fraction part was calculated in step 1. It can be transferred directly to the result:

3 | 5 | + | 2 | 11 | = ? | 5 |

8 | 16 | 16 |

**Step 2.2: whole number part of the result**

The whole numer part of the result is the sum of the original whole numbers plus the whole number from step 1.5:

3 + 2 + 1 = 6

The result is:

3 | 5 | + | 2 | 11 | = 6 | 5 |

8 | 16 | 16 |