Question

In 3/4 pound of a spice mix, there is 5/6 cup of cinnamon.

How much cinnamon does the spice mix contain per pound?


5/8 cup

9/10 ​ cup

1 1/9 ​ cups

1 3/5 ​ cups

Answer 1

Answer:

Option 3 11/9

9

1

Explanation:

Given : In 3/4 pound of a spice mix, there is 5/6 cup of cinnamon.

To find : How much cinnamon does the spice mix contain per pound?

Solution :

In \frac{3}{4}

4

3

pounds of a spice mix have \frac{5}{6}

6

5

cup of cinnamon.

So, In In 1 pounds of a spice mix have \frac{\frac{5}{6}}{\frac{3}{4}}

4

3

6

5

cup of cinnamon.

Now, we solve the fraction

=\frac{\frac{5}{6}}{\frac{3}{4}}=

4

3

6

5

=\frac{5\times 4}{6\times 3}=

6×3

5×4

=\frac{10}{9}=

9

10

=1\frac{1}{9}=1

9

1

Therefore, Option 3 is correct.

Cinnamon does the spice mix contain per pound is =1\frac{1}{9}=1

9

1

cup.