Question

MARK BRAINIEST The base of a triangle is 7 3/4 inches, and the height is 4 2/3 inches. What is the area of the triangle? A) 14 4/7 in2 B) 18 1/12 in2 C) 28 1/2 in2 D) 28 1/6 in2

Answer 1

Short Answer: B
Remark
The area of any triangle is 
A = 1/2 b * h
b = 7 3/4
h = 4  2/3

Step one
Convert all fractions to improper fractions.

7 3/4 = (28 + 3) / 4 = 31/ 4

4 2/3 = (12 + 2) / 3 = 14/3 Now multiply

Step Two
Multiply
Area = 1/2 * 31/4 * 14/3 Multiply the numerators together and then the denominators.
Area = (1 * 31 * 14) / (2 * 4 * 3) = 434 /24

Step 3
Convert this to a whole number + a fraction

Area = 18 + 0.08333333 You already have your answer. It is  B because only B gives an answer of 18. But you can get the rest of 

Let x = 0.083333333
100 x = 8.3333333333 
 x =       0.0833333333   Subtract
99  x = 8.25 Divide by 3 on both sides.
33 x = 2.75  Divide by 11
3x  = 0.25  
x = 0.25/3 Multiply top and bottom by 4
x = 1 / 12

The answer is 18 1/12.