Simplify the following expression:

To multiply fractions, simply multiply across the top and bottom:

Now, we cannot simplify our answer, so our answer remains:

When multiplying fractions, we will multiply the numerators together, then multiply the denominators together. We do NOT have to find a common denominator. So,

Divide.

Another way to solve is to simplify the fraction by removing common factors.

Four over ten, or four-tenths, is equal to

Answer:

We examine two scenarios to demonstrate that the given information is insufficient.

Case 1:

The reciprocal of this is .

The reciprocal of this is .

, so has the greater reciprocal.

Case 2: .

The reciprocal of this is .

The reciprocal of this is .

, so has the greater reciprocal.

To multiply fractions, we will multiply the numerators together, then we will multiply the denominators together. Note that we do NOT need to find a common denominator.

So, in the problem

We will first write 18 as a fraction. We know that whole numbers can be written as a fraction over 1. So, we get

Now, before we multiply, we can simplify to make things easier. The 3 and the 18 can both be divided by 3. We get

Now, we can multiply straight across. We get

and , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

Add the numerators and leave the denominators the same:

Answer:

To multiply fractions, we will multiply the numerators together and the denominators together. We get

Divide 7 by 11:

Figure 1 is a rectangle divided into 24 squares of equal size; 8 of the squares are shaded, which means that of Figure 1 is shaded.

Figure 2 is a triangle divided into 4 triangles of equal size; 1 is shaded, which means that of Figure 2 is shaded.

The fraction of Figure 1 that is shaded is the greater quantity.