Operations with 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

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. Simplify if necessary.

Front

What is the result of multiplying 3/4 by 2/3?

Back

The result is 1/2.

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 is the whole number, and the remainder is the new numerator.

Front

What is the least common multiple (LCM) and how is it used in fractions?

Back

The least common multiple (LCM) is the smallest multiple that two or more numbers share. It is used to find a common denominator when adding or subtracting fractions.

Front

What is the greatest common divisor (GCD)?

Back

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

Front

How do you subtract fractions?

Back

To subtract fractions, find a common denominator, convert the fractions, and then subtract the numerators.

Front

What is a mixed number?

Back

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