Multiplying 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 (part) and 'b' is the denominator (whole).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/2.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

Front

What is the product of 1/2 and 2/3?

Back

1/2 * 2/3 = 2/6 = 1/3.

Front

How do you simplify the fraction 10/15?

Back

Divide both the numerator and denominator by their greatest common divisor, which is 5. So, 10/15 = 2/3.

Front

What is the fraction of a whole if you have 3/4 of it?

Back

3/4 means you have three parts out of four equal parts of the whole.

Front

If Ginna owns 5/6 of a section of land and plants peanuts on 2/3 of her land, what fraction of the entire section is planted with peanuts?

Back

5/6 * 2/3 = 10/18 = 5/9.

Front

What is the fraction of girls with long brown hair if 4/5 have brown hair and 3/4 of those have long hair?

Back

4/5 * 3/4 = 12/20 = 3/5.