Question 1

What are fractions and how do they work?

Accepted Answer

A fraction represents a part of a whole, written as numerator/denominator. The numerator (top number) shows how many parts you have, while the denominator (bottom number) shows how many equal parts make up the whole. For example, 3/4 means you have 3 parts out of 4 equal parts.

Question 2

How do I add and subtract fractions?

Accepted Answer

To add or subtract fractions:
1. Find a common denominator (usually the least common multiple)
2. Convert fractions to equivalent fractions with the common denominator
3. Add or subtract the numerators
4. Keep the common denominator
5. Simplify if possible
Example: 1/4 + 1/6 = 3/12 + 2/12 = 5/12

Question 3

How do I multiply and divide fractions?

Accepted Answer

Multiplication: Multiply numerators together and denominators together. Example: 2/3 × 4/5 = 8/15

Division: Multiply by the reciprocal (flip the second fraction). Example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6

Question 4

How do I simplify fractions?

Accepted Answer

To simplify a fraction, divide both the numerator and denominator by their Greatest Common Factor (GCF). For example, 12/16 can be simplified by dividing both by 4: 12÷4 = 3 and 16÷4 = 4, so 12/16 = 3/4. A fraction is in simplest form when the GCF of numerator and denominator is 1.

Question 5

How do I convert fractions to decimals and vice versa?

Accepted Answer

Fraction to decimal: Divide the numerator by the denominator. 3/4 = 3 ÷ 4 = 0.75

Decimal to fraction: Place the decimal over the appropriate power of 10 and simplify. 0.75 = 75/100 = 3/4 (after simplifying by dividing by 25)

Fraction & Percentage Visualizer