DIVIDING FRACTIONS (EOG RE-TAKE)

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by swapping its numerator and denominator.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction.

Front

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

Back

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 least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that two or more denominators share.

Front

How do you find the least common denominator?

Back

List the multiples of each denominator and find the smallest multiple that appears in all lists.

Front

What is the process to solve a word problem involving dividing fractions?

Back

Identify the fractions involved, set up the division problem, convert to multiplication by using the reciprocal, and simplify if necessary.