Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator, leaving the negative sign on the numerator, and changing the operation to multiplication. Then the equation becomes
For fraction multiplication, multiply the numerators and then multiply the denominators to get
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 9 and 12 using
Answer:
B) 0.85
Step-by-step explanation:
By definition, complementary angles add to 90 degrees.
The given angle 58 degrees is complementary to 90-58 = 32 degrees. The two angles 58 and 32 add to 90.
Therefore, cos(32) = 0.848 = 0.85
Hi! I'm happy to help!
To solve this problem, we need to divide the recipe amount in 1/6 amounts. So, we will do a fraction division problem like this:
15
÷
This problem is hard to do with mixed numbers, so we need to turn 15
into an improper fraction. To do that we need to multiply 15 by 6, because that is our denominator, then add the extra
.
(15×6)+1
90+1
91
So, our improper fraction would be
, now, let's solve.
÷
It is difficult to do division problems on their own, so we can change this into an easier problem. We can do the inverse operation and turn this into multiplication. We do this by changing it to multiplication (obviously), then flip the second fraction.
×
Now, we just multiply the top by the top, and bottom by the bottom.

We could end it here, but we want a whole number, so, we simplify the number by dividing both the top and bottom by 6.

Anything over 1, is just a whole number
91.
<u>Therefore, the recipe should require 91 uses of the 1/6 cup.</u>
I hope this was helpful, keep learning! :D
Answer:
6, √38, √42, 7
Step-by-step explanation: