Multiply Fractions and Mixed Numbers

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

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/3, which means 2 whole parts and 1/3 of another part.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (2/3) * (4/5) = (2*4)/(3*5) = 8/15.

Front

What is the first step in multiplying a mixed number by a fraction?

Back

Convert the mixed number to an improper fraction before multiplying.

Front

Convert the mixed number 3 1/2 to an improper fraction.

Back

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

Front

What is the area of a rectangle?

Back

The area of a rectangle is found by multiplying its length by its width (Area = length × width).

Front

Calculate the area of a rectangle with a length of 14 2/5 meters and a width of 6 7/8 meters.

Back

Area = (14 2/5) * (6 7/8) = 99 square meters.

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 are expressed in terms of the same whole.

Front

What is the result of multiplying 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 same denominator. For example, 3 * (2/5) = (3*2)/5 = 6/5.

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.