Multiply and Divide 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).

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

How do you divide fractions?

Back

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

Front

What does it mean to split something evenly?

Back

To split something evenly means to divide it into equal parts so that each person gets the same amount.

Front

If 2/6 of a pie is left and 3 people want to share it, how do you find out how much each person gets?

Back

Divide 2/6 by 3: (2/6) ÷ 3 = (2/6) * (1/3) = 2/18 = 1/9.

Front

What is the first step in solving a word problem involving fractions?

Back

Read the problem carefully to understand what is being asked and identify the fractions involved.

Front

How can you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the GCD of 6 and 8?

Back

The GCD of 6 and 8 is 2.

Front

If you have 2/5 of a cake and 4 people want to share it, how much does each person get?

Back

Divide 2/5 by 4: (2/5) ÷ 4 = (2/5) * (1/4) = 2/20 = 1/10.

Front

What is the reciprocal of 3/4?

Back

The reciprocal of 3/4 is 4/3.