Question 1

How do I convert a decimal to a fraction?

Accepted Answer

Count the decimal places. Use those digits as the numerator over 10^(decimal places) as denominator. Then simplify by dividing both by their GCD. Example: 0.75 = 75/100. GCD(75,100)=25. Result: 3/4.

Question 2

What is a fraction in lowest terms?

Accepted Answer

A fraction is in lowest terms (simplified) when the numerator and denominator share no common factor other than 1. Example: 4/6 simplifies to 2/3 (divided by GCD=2). 3/4 is already in lowest terms.

Question 3

What is a mixed number?

Accepted Answer

A mixed number has a whole part and a fraction part. For decimals > 1: 1.5 → 3/2 as an improper fraction → "1 1/2" as a mixed number. Mixed numbers are often easier to read: "one and a half" vs "three halves."

Question 4

How do I convert 0.333... (repeating) to a fraction?

Accepted Answer

Repeating decimals need algebra. Let x = 0.333..., then 10x = 3.333... Subtract: 9x = 3, so x = 3/9 = 1/3. For 0.142857142857... (repeating 6 digits), multiply by 10^6 and subtract to get 142857/999999 = 1/7.

Question 5

What is the GCD and why is it used?

Accepted Answer

GCD stands for Greatest Common Divisor — the largest number that divides both numerator and denominator. Dividing both by GCD gives the simplest form. The Euclidean algorithm efficiently finds GCD: gcd(a,b) = gcd(b, a mod b) until b=0.

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Frequently Asked Questions

How do I convert a decimal to a fraction?

What is a fraction in lowest terms?

What is a mixed number?

How do I convert 0.333... (repeating) to a fraction?

What is the GCD and why is it used?

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