Unit 4: Dividing Fractions (GCF/LCM)

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 5/7 is 7/5.

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, to divide 1/2 by 3/4, calculate 1/2 * 4/3 = 4/6 = 2/3.

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) of two numbers is the smallest multiple that is evenly divisible by both numbers. For example, the LCM of 9 and 15 is 45.

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) of two numbers is the largest number that divides both of them without leaving a remainder. For example, the GCF of 12 and 16 is 4.

Front

How do you find the LCM of two numbers?

Back

To find the LCM of two numbers, list the multiples of each number and find the smallest common multiple. Alternatively, use the formula: LCM(a, b) = (a * b) / GCF(a, b).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 4 2/5 is a mixed number.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 4 2/5 = (4*5 + 2)/5 = 22/5.

Front

What is the reciprocal of 9?

Back

The reciprocal of 9 is 1/9.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF). For example, to simplify 8/12, divide both by 4 to get 2/3.

Front

What is the relationship between GCF and LCM?

Back

The relationship is given by the formula: GCF(a, b) * LCM(a, b) = a * b.