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 product of 1/2 and 3/4?

Back

1/2 * 3/4 = 3/8.

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

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

What is the product of 2/3 and 3/4?

Back

2/3 * 3/4 = 6/12, which simplifies to 1/2.

Front

What does it mean to simplify a fraction?

Back

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

Front

What is the product of 4/5 and 2/3?

Back

4/5 * 2/3 = 8/15.

Front

How do you find the product of a mixed number and a whole number?

Back

Convert the mixed number to an improper fraction, then multiply by the whole number expressed as a fraction (e.g., 3 = 3/1).