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

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

How do you divide a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by the whole number. For example, 1/2 ÷ 4 = 1/(2*4) = 1/8.

Front

What does it mean to divide a whole number by a fraction?

Back

Dividing a whole number by a fraction is the same as multiplying the whole number by the reciprocal of the fraction. For example, 6 ÷ (1/3) = 6 * 3 = 18.

Front

How do you find the amount per person when sharing equally?

Back

To find the amount per person, divide the total amount by the number of people. For example, if you have 1/2 cup of cheese for 3 bowls, you calculate 1/2 ÷ 3 = 1/6.

Tags

CCSS.5.NF.B.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 1/4 is 4/1.

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 and add the numerator. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is the process of simplifying a fraction?

Back

Simplifying a fraction involves dividing the numerator and denominator by their greatest common divisor (GCD). For example, 4/8 simplifies to 1/2.

Front

How can you check if your answer to a division problem is correct?

Back

You can check your answer by multiplying the quotient by the divisor to see if you get the original dividend. For example, if you found 1/8 as the answer, check by multiplying 1/8 * 4.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical question presented in a narrative form, requiring interpretation and problem-solving skills to find the answer.

Tags

CCSS.1.OA.A.1

Front

How do you set up a division problem from a word problem?

Back

Identify the total amount and the number of groups or parts, then set up the division equation. For example, if you have 1/2 cup of marshmallows for 4 mugs, set it up as 1/2 ÷ 4.

Tags

CCSS.5.NF.B.7A

CCSS.5.NF.B.7C