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 is the area of a rectangle?

Back

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

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is the total distance around it, calculated as P = 2(length + width).

Front

If a rectangle has an area of 15/32 and a width of 5/8, how do you find the length?

Back

To find the length, divide the area by the width: Length = Area ÷ Width = (15/32) ÷ (5/8) = (15/32) * (8/5) = 3/4.

Front

How do you find the weight of one item if you know the total weight and the number of items?

Back

Divide the total weight by the number of items. For example, if 9 cakes weigh 20¼ pounds, each cake weighs 20¼ ÷ 9 = 2¼ pounds.

Front

What is a word problem in mathematics?

Back

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

Front

How do you determine how many items can be made from a given quantity?

Back

Divide the total quantity by the amount needed for one item. For example, if you have 12 yards of fabric and each pillow uses 2/3 yard, you can make 12 ÷ (2/3) = 18 pillows.

Front

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

Back

Multiplying a fraction by a whole number scales the fraction by that number. For example, 2 3/4 × 8 means you have 8 groups of 2 3/4.