Multiplying and Dividing fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

How do you multiply fractions?

Back

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

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

How do you divide fractions?

Back

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

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 5/4.

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

To convert, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD).

Front

What is the least common multiple (LCM)?

Back

The least common multiple is the smallest multiple that two or more numbers share. It is useful for adding or subtracting fractions.

Front

What is the greatest common divisor (GCD)?

Back

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