Operations on 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 does it mean to simplify a fraction?

Back

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

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

1. Find a common denominator. 2. Convert each fraction to an equivalent fraction with the common denominator. 3. Add the numerators and keep the common denominator.

Front

How do you subtract fractions?

Back

To subtract fractions, ensure they have a common denominator, then subtract the numerators and keep the common denominator.

Front

What is the formula for multiplying fractions?

Back

To multiply fractions, multiply the numerators together and multiply the denominators together: (a/b) * (c/d) = (a*c)/(b*d).

Front

What is the formula for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction: (a/b) ÷ (c/d) = (a/b) * (d/c).

Front

What is the difference between proper and improper fractions?

Back

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

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 1/2.

Front

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

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the proper fraction.