To find the area of a rectangle, you need to multiply its height by its base. In this case, the height of the rectangle is 1 1/4 inches, and the base is 5/6 inches. To multiply these numbers, you first need to convert the fractions to a common denominator. One way to do this is to convert both fractions to sixths, since 6 is a multiple of both the denominator of the first fraction (4) and the denominator of the second fraction (6). To convert 1 1/4 inches to sixths, you can first convert 1 1/4 to a mixed number with a whole number part of 1 and a fractional part of 1/4, like this:
1 1/4 inches = 1 + 1/4 inches
Then, you can convert 1/4 to sixths by multiplying the numerator and denominator by 3 (since 3 x 4 = 12, which is a multiple of 6):
1/4 inches = 3/12 inches = 1/4 inches
Therefore, 1 1/4 inches is equal to 1 + 1/4 inches = 1 + 3/12 inches = 4/12 inches = 1/3 inches.
To convert 5/6 inches to sixths, you can multiply the numerator and denominator by 2 (since 2 x 6 = 12, which is a multiple of 6):
5/6 inches = 10/12 inches = 5/6 inches
Therefore, the base of the rectangle is 5/6 inches = 10/12 inches = 5/6 inches.
Now that you have converted both the height and the base of the rectangle to a common denominator of sixths, you can multiply them together to find the area of the rectangle:
Area = height * base = (1/3 inches) * (5/6 inches) = (1/3) * (5/6) = 5/18 inches^2
The area of the rectangle is 5/18 square inches.