Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

What is the difference between a proper fraction and an improper fraction?

Back

A proper fraction has a numerator that is less than its denominator, while an improper fraction has a numerator that is greater than or equal to its denominator.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator over the original denominator.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

What does the symbol '>' mean in relation to fractions?

Back

The symbol '>' means 'greater than' and is used to compare two fractions to determine which is larger.

Front

What does the symbol '<' mean in relation to fractions?

Back

The symbol '<' means 'less than' and is used to compare two fractions to determine which is smaller.

Front

How do you find a common denominator for two fractions?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators of the fractions.

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then add the numerators.

Front

What is the process for subtracting fractions with different denominators?

Back

To subtract fractions with different denominators, find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then subtract the numerators.

Front

How do you multiply two fractions?

Back

To multiply two fractions, multiply the numerators together and multiply the denominators together. The result is a new fraction.