Multiplying Fractions by 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

What does it mean to multiply a fraction by a whole number?

Back

Multiplying a fraction by a whole number means you are taking that fraction and adding it to itself a certain number of times, which can be visualized as finding a part of a whole multiple times.

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, 3 x 2/5 = (3*2)/5 = 6/5.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 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 over the original denominator.

Front

What is the result of 5 x 4/6?

Back

The result is 3 2/6.

Front

What is the total weight of 4 jars of candy, each weighing 3/4 lb?

Back

The total weight is 3 lbs.

Front

What is 3/7 of 14?

Back

3/7 of 14 is 6.

Front

What does the expression 2 x 4/5 represent?

Back

The expression 2 x 4/5 represents taking 2 parts of 4/5, which can be visualized on a number line.

Front

How do you simplify the fraction 12/16?

Back

To simplify 12/16, divide both the numerator and the denominator by their greatest common divisor, which is 4. The simplified fraction is 3/4.