Simplifying Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator is the part and the denominator is the whole.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1.

Front

How do you simplify the fraction \( \frac{3}{6} \)?

Back

To simplify \( \frac{3}{6} \), divide both the numerator and denominator by their greatest common divisor, which is 3. This results in \( \frac{1}{2} \).

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder.

Front

How do you find the GCD of 3 and 6?

Back

The GCD of 3 and 6 is 3, as it is the largest number that divides both 3 and 6 evenly.

Front

What is the simplified form of \( \frac{3}{9} \)?

Back

The simplified form of \( \frac{3}{9} \) is \( \frac{1}{3} \), found by dividing both the numerator and denominator by their GCD, which is 3.

Front

What is the simplified form of \( \frac{5}{10} \)?

Back

The simplified form of \( \frac{5}{10} \) is \( \frac{1}{2} \), obtained by dividing both the numerator and denominator by their GCD, which is 5.

Front

How do you simplify the fraction \( \frac{9}{3} \)?

Back

To simplify \( \frac{9}{3} \), divide both the numerator and denominator by their GCD, which is 3. This results in 3.

Front

What is the simplified form of \( \frac{4}{2} \)?

Back

The simplified form of \( \frac{4}{2} \) is 2, as dividing both the numerator and denominator by their GCD, which is 2, results in 2.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.