a real motorcycle is 18 times as large as a model motorcycle that is 5 1/16 in. long so how long is the real motorcycle
18 * 5 1/6 = ?
18 and 5/16
90
To find the length of the real motorcycle, we need to multiply the length of the model motorcycle by the scale factor, which is given as 18.
First, let's convert the length of the model motorcycle to a mixed fraction to make calculations easier.
The length of the model motorcycle is given as 5 1/16 inches. To convert to a mixed fraction, we need to multiply the whole number (5) by the denominator (16) and add the numerator (1). Then we place the result over the denominator (16).
5 * 16 = 80
80 + 1 = 81/16
So, the length of the model motorcycle is 81/16 inches.
Now to find the length of the real motorcycle:
Length of real motorcycle = Scale factor * Length of model motorcycle
= 18 * 81/16 inches
To multiply a whole number by a fraction, we multiply the whole number by the numerator and place the result over the denominator.
18 * 81/16 = (18 * 81) / 16
= 1458 / 16
Now, let's simplify the fraction if possible. Both the numerator and the denominator are divisible by 2.
1458 / 16 = (2 * 729) / (2 * 8)
= 729 / 8
The length of the real motorcycle is 729/8 inches.
Alternatively, to get a decimal answer, you can divide 729 by 8:
729 รท 8 = 91.125
So, the length of the real motorcycle is approximately 91.125 inches.