multiplying and dividing fractions and mixed numbers

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).

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

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).

Tags

CCSS.5.NF.B.6

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/4.

Tags

CCSS.3.NF.A.3C

Front

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

Back

Multiply the whole number by the denominator and add the numerator. For example, 2 1/4 = (2*4 + 1)/4 = 9/4.

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

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor. For example, (a/b) ÷ (c/d) = (a/b) * (d/c).

Tags

CCSS.6.NS.A.1

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and denominator by their greatest common divisor (GCD).

Front

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

Back

The product is (2*3)/(3*4) = 6/12, which simplifies to 1/2.

Tags

CCSS.5.NF.B.6

Front

What is the result of 1/2 ÷ 1/4?

Back

The result is 1/2 * 4/1 = 4/2, which simplifies to 2.

Tags

CCSS.6.NS.A.1

Front

How do you add fractions with different denominators?

Back

Find a common denominator, convert the fractions, and then add the numerators. For example, 1/4 + 1/6 = 3/12 + 2/12 = 5/12.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2