Operations w/ Fractions

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, a/b ÷ c/d = a/b × d/c.

Front

What is a reciprocal?

Back

A reciprocal of a number is 1 divided by that number. For a fraction a/b, the reciprocal is b/a.

Front

How do you simplify a fraction?

Back

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

Front

What is the greatest common divisor (GCD)?

Back

The GCD of two or more integers is the largest positive integer that divides each of the integers without leaving a remainder.

Front

What is the result of dividing a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by that whole number. For example, a/b ÷ c = a/(b*c).

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 that result over the original denominator.

Front

What is the importance of finding a common denominator when adding or subtracting fractions?

Back

Finding a common denominator allows you to combine fractions by ensuring they have the same base, making addition or subtraction possible.

Front

What is the least common multiple (LCM)?

Back

The LCM of two or more integers is the smallest positive integer that is divisible by each of the integers.

Front

How do you check if a fraction is in simplest form?

Back

A fraction is in simplest form if the numerator and denominator have no common factors other than 1.

Front

What is the result of dividing 1/4 by 1/2?

Back

1/4 ÷ 1/2 = 1/4 × 2/1 = 2/4 = 1/2.