Question 1

How do you add fractions?

Accepted Answer

To add fractions, they must have the same denominator. Find the least common multiple (LCM) of the denominators, expand both fractions to that denominator, then add the numerators. Example: 1/4 + 2/3 = 3/12 + 8/12 = 11/12.

Question 2

How do you multiply fractions?

Accepted Answer

When multiplying fractions, simply multiply numerator by numerator and denominator by denominator. Example: 2/3 × 3/5 = 6/15 = 2/5 (simplified). A common denominator is not needed.

Question 3

What does simplifying fractions mean?

Accepted Answer

Simplifying means dividing numerator and denominator by their greatest common divisor (GCD). The fraction keeps its value but becomes simpler. Example: 12/18 ÷ 6 = 2/3. The GCD of 12 and 18 is 6.

Question 4

How do you convert fractions to decimals?

Accepted Answer

Divide the numerator by the denominator. Example: 3/4 = 3 ÷ 4 = 0.75. Some fractions result in repeating decimals, e.g., 1/3 = 0.333... (repeating 3).

Question 5

What is a mixed number?

Accepted Answer

A mixed number consists of a whole number and a proper fraction, e.g., 2 3/4. It arises when the numerator is larger than the denominator (improper fraction): 11/4 = 2 3/4, because 11 ÷ 4 = 2 remainder 3.

Question 6

How do you divide fractions?

Accepted Answer

To divide by a fraction, multiply by its reciprocal (numerator and denominator are swapped). Example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.

Question 7

What is the GCD (greatest common divisor)?

Accepted Answer

The GCD is the largest number that divides both numerator and denominator without remainder. It's used to simplify fractions. For 24 and 36, the GCD is 12, because 24 = 2×12 and 36 = 3×12.

Question 8

What is the LCM (least common multiple)?

Accepted Answer

The LCM of two numbers is the smallest positive number divisible by both. It's used as the common denominator when adding and subtracting fractions. For 4 and 6, the LCM is 12.

Question 9

How do you compare fractions?

Accepted Answer

Bring both fractions to the same denominator (LCM) and compare the numerators. The fraction with the larger numerator is greater. Alternatively, convert both to decimals and compare directly.

Question 10

In which grade do students learn fractions?

Accepted Answer

In Germany, fraction arithmetic is typically introduced in 5th and 6th grade. Simple fractions and the concept of sharing are covered in elementary school, while formal fraction arithmetic with all operations follows in secondary school.

Guide: Fraction Calculator

Fractions Explained — The Complete Guide 2026

Adding and Subtracting Fractions — Step by Step

Simplifying Fractions with GCD — How It Works

Converting Between Fractions and Decimals

Converting Mixed Numbers — Improper Fractions and Back

Multiplying and Dividing Fractions — Reciprocals Made Easy

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