Multiplying and Dividing Fractions - Word Problems

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).

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 the area of a rectangle?

Back

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

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

How do you divide fractions?

Back

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

Tags

CCSS.6.NS.A.1

Front

What does 'of' mean in math word problems?

Back

In math word problems, 'of' often indicates multiplication. For example, '3/4 of 8' means 3/4 * 8.

Tags

CCSS.5.NF.B.4A

Front

How do you find a fraction of a whole number?

Back

To find a fraction of a whole number, multiply the whole number by the numerator and then divide by the denominator. For example, to find 2/3 of 12, calculate (2*12)/3 = 8.

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

Front

What is a word problem?

Back

A word problem is a mathematical problem expressed in words, requiring interpretation and problem-solving skills to find a solution.

Tags

CCSS.2.OA.A.1

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 that over the original denominator. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

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 simplify a fraction?

Back

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