Operations with 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) * (c/d) = (a*c)/(b*d).

Front

What is the lowest terms of a fraction?

Back

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1.

Front

What is the quotient of two fractions?

Back

The quotient of two fractions is found by multiplying the first fraction by the reciprocal of the second. For example, (a/b) ÷ (c/d) = (a/b) * (d/c).

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction 'a/b' is 'b/a'. It is obtained by flipping the numerator and denominator.

Front

How do you simplify a fraction?

Back

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

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 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 sum of 1/4 and 1/4?

Back

1/4 + 1/4 = 2/4 = 1/2 after simplification.