Multiplying Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number).

Front

How do you multiply two fractions?

Back

To multiply two fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Then simplify if possible.

Front

What is the product of 2/3 and 3/4?

Back

The product is (2*3)/(3*4) = 6/12, which simplifies to 1/2.

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

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 over the original denominator is the fraction.

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 divisor. For example, to divide 1/2 by 3/4, you multiply 1/2 by 4/3.

Front

What is the significance of the denominator in a fraction?

Back

The denominator indicates how many equal parts the whole is divided into, while the numerator indicates how many of those parts are being considered.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to add or subtract fractions.