Multiply/Divide Fractions by a whole number

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 a fraction by a whole number?

Back

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

Front

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

Back

Dividing a whole number by a fraction is the same as multiplying the whole number by the reciprocal of the fraction. For example, 6 ÷ 1/2 = 6 x 2/1 = 12.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction 'a/b' is 'b/a'. For example, the reciprocal of 3/4 is 4/3.

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 a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/3.

Front

How do you add fractions with different denominators?

Back

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

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) is the smallest multiple that two or more numbers share. It is used to find a common denominator.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF).

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) is the largest number that divides two or more numbers without leaving a remainder.