Multiply & Divide Fractions & Whole Numbers

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 (the number of parts) and 'b' is the denominator (the total number of equal parts).

Front

How do you multiply a fraction by a whole number?

Back

To multiply a fraction by a whole number, multiply the numerator of the fraction by the whole number and keep the denominator the same. For example, 2 x (3/4) = (2*3)/4 = 6/4.

Front

What is the process to divide a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by the whole number. For example, (3/4) ÷ 2 = 3/(4*2) = 3/8.

Front

What does it mean to find a common denominator?

Back

Finding a common denominator means to find a number that is a multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

Front

How do you add fractions with different denominators?

Back

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

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 multiply two fractions?

Back

To multiply two fractions, multiply the numerators together and the denominators together. For example, (2/3) x (3/4) = (2*3)/(3*4) = 6/12 = 1/2.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a 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 difference between a proper fraction and an improper fraction?

Back

A proper fraction has a numerator smaller than the denominator (e.g., 1/2), while an improper fraction has a numerator larger than or equal to the denominator (e.g., 5/4).