6th grade Illustrative Math Unit 4 Dividing Fractions

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

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 1/3, calculate 1/2 x 3/1 = 3/2.

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 3/4 is 4/3.

Front

What does it mean to find a common denominator?

Back

Finding a common denominator means identifying a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

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, 2 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is the volume of a rectangular prism?

Back

The volume of a rectangular prism is calculated by multiplying its length, width, and height. Volume = length x width x height.

Front

How do you simplify a fraction?

Back

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

Front

What is the difference between proper and improper fractions?

Back

A proper fraction has a numerator smaller than its denominator (e.g., 3/4), while an improper fraction has a numerator larger than or equal to its denominator (e.g., 5/4).

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/4 = 0.25.

Front

What is a unit fraction?

Back

A unit fraction is a fraction where the numerator is 1 and the denominator is a positive integer, such as 1/2, 1/3, or 1/10.