Exercise 47 Page 24

We are asked to select all the expressions that have 34 as a product. & 1/2*1/2 [1em] & 9/10*5/6 [1em] & 7/8*6/7 [1em] & 3/4*3/4 [1em] & 1/4*1/2 To determine which expressions are equal to 34, we will multiply the fractions in each expression. We can start with the first expression.

First Expression

Let's take a look at the first expression. 1/2* 1/2 Let's calculate the product! To do so, we will multiply the numerators and denominators. We can see that this product is not equal to 34, we will not select the first expression.

* 1/2*1/2

Second Expression

Now we will determine if the second expression has 34 as a product. 9/10* 5/6 To calculate the product, we will multiply the numerators and denominators.

9/10* 5/6

MultFrac

Multiply fractions

9* 5/10* 6

Multiply

Multiply

45/60

ReduceFrac

a/b=.a /15./.b /15.

45/15/60/15

CalcQuot

Calculate quotient

3/4

We found that the product is equal to 34, so we can select the second option! &* 1/2*1/2 [1em] &✓ 9/10*5/6

Third Expression

In the third option, we are given the following expression. 7/8* 6/7 Let's calculate this product!

7/8*6/7

MultFrac

Multiply fractions

7* 6/8* 7

Multiply

Multiply

42/56

ReduceFrac

a/b=.a /14./.b /14.

42/14/56/14

CalcQuot

Calculate quotient

3/4

The product is equal to 34, so we will select the third option! &* 1/2*1/2 [1em] &✓ 9/10*5/6 [1em] &✓ 7/8*6/7

Fourth Option

Let's take a look at the expression in the fourth option. 3/4* 3/4 We will multiply the fractions.

3/4* 3/4

MultFrac

Multiply fractions

3* 3/4* 4

Multiply

Multiply

9/16

We cannot simplify this fraction and it is not equal to 34, so we will not select the fourth option. &* 1/2*1/2 [1em] &✓ 9/10*5/6 [1em] &✓ 7/8*6/7 [1em] &* 3/4*3/4

Fifth Option

Finally, we will determine if the last expression has 34 as product. 1/4* 1/2 Let's multiply!

1/4* 1/2

MultFrac

Multiply fractions

1* 1/4* 2

Multiply

Multiply

1/8

We can see that the last product is not 34. &* 1/2*1/2 [1em] &✓ 9/10*5/6 [1em] &✓ 7/8*6/7 [1em] &* 3/4*3/4 [1em] &* 1/4*1/2 We selected all the expressions that have 34 as a product.