Multiply Fractions

Multiply Fractions Test Review

Multiple Choice

Find the simplified product:

$$\frac{4}{7}\times28$$  

• 112/7

• 8

• 16

• 112/196

One option to solve for the product is to remember that 28 can be written as 28/1. The algorithm says we should multiply numerator x numerator and denominator x denominator. Then simplify.

Review Explanation #1

​

Multiple Choice

Use the Model to help you solve $$\frac{2}{3}\times\frac{3}{8}$$  

• 6/24 = 1/4

• 17/24

• 5/24

• 3/24 = 1/6

If we use the model, we can see that the area where 2/3 and 3/8 overlap is 6/24. This can be simplified because both 6 and 24 are divisible by 6. We can also solve using the algorithm a/b x c/d = (a x c)/(b x d)

Review Explanation #2

​

Multiple Choice

Find the area of the rectangle with a length of 5 3/4 feet and a width of 2 2/3 feet.

• 10 5/7 sq. ft.

• 16 5/6 sq. ft.

• 15 1/3 sq. ft.

• 10 1/2 sq. ft.

To find the area of a rectangle, we needed to remember the equation Area = length x width. Which for this question would be 5 3/4 x 2 2/3. One way to solve is to turn the mixed numbers into improper fractions and multiply, then Simplify.

Review Explanation #3

​

​Another way to look at it. Challenge/Get ready for Algebra.

Multiple Choice

Which products are greater than 3 5/6?

• $$\frac{3}{8}\times3\frac{5}{6}$$  

• $$\frac{8}{3}\times3\frac{5}{6}$$  

• $$3\frac{5}{6}\times\frac{3}{3}$$  

• $$\frac{7}{8}\times3\frac{5}{6}$$  

We can use what we know about fractions and whole numbers to help us solve this question without solving exactly. I know a fraction is a part of a whole. If I multiply my original number by a fraction, the product will be less (a part of) the original number.

Review Explanation #4

​