What is the quotient in simplest form?
3/4 divided by 5/16
15/64
15/16
2 2/5
2 8/20

2 2/5

Step-by-step explanation:

The quotient means the answer to a division problem.

Flip the second fraction's top and bottom. This becomes a multiplication problem.

      Multiply the two numerators, multiply the two denominators

          Simplify

          Reduce this fraction. Top and bottom are divisible by 4.

       This is an improper fraction (top number is greater than bottom)

12/5 is not an option, so we can change it to a mixed fraction, which we take out a whole number (written bigger beside the fraction).

One whole number is worth "5" in the numerator.

       Separate the numerator to find how many wholes there are

             There were two "5"s, so two wholes. It leaves 2 in the numerator.

ratio is 2 : 9

the answer is three

13.5 : 3

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west