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

Subtract the two 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: Determine the common denominator:**

The common denominator is equal to the lowest common multiple (LCM) of the two denominators: **50** (open here)

1) In order to calculate the least common multiple (LCM) of 10 and 25, you need the greatest common divisor (GCD) first:

10 ÷ 25 = 0 Remainder 10

25 ÷ 10 = 2 Remainder 5

10 ÷ 5 = 2 Remainder 0

The Greatest Common Divisor (GCD) of 10 and 25 is **5**.

2) The least common multiple (LCM) is calculated by multiplying the two numbers and then dividing by the greatest common divisor (GCD). It's easier if you first divide and then multiply:

10 × (25 : 5) = 10 × 5 = 50

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

Expand the first fraction with the number 5 and the second fraction with the number 2.

7 | - | 3 | = | 7 × 5 | - | 3 × 2 | = | 35 | - | 6 |

10 | 25 | 10 × 5 | 25 × 2 | 50 | 50 |

**Step 3: Subtract the numerators:**

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

35 | - | 6 | = | 35 - 6 | = | 29 |

50 | 50 | 50 | 50 |

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

The result can not be simplified.