Accepted Solution
The goal here is to determine the value of 65 divided by 18/9. To decipher this, we break down the components involved. The dividend or the whole number in the calculation is 65 and the divisor, which is fractions, can be further split into the numerator (18) and the denominator (9).
To resolve this, the following steps need to be taken:
First, we layout the mathematical problem: \[65 ÷ \frac{18}{9}\]
The first step is to multiply the whole number, 65, by the denominator of the fraction, which is 9: \begin{equation} 65 × 9 = 585 \end{equation}
Next, the numerator of our fraction becomes the denominator of our answer. The fractional result at this stage is: \[\frac{ 65 × 9 }{18} = \frac{585}{18}\]
The decimal equivalent of this is expressed by dividing 585 by 18. If required for convenience, rounding to the nearest three decimal points could be done: \[\frac{585}{18} = \frac{65}{2}= 32.5\]
So, the decimal equivalent of 65 divided by 18/9 is 32.5; and in simplest fractional form, it is 65/2.
If you need more practice on similar problems, try calculating the following:
- What number divided by 85 results to 71?
- What is 18 divided by 4/20?
- What is 14/6 divided by 15/3?
- What number divided by 13 yields 26?
- What is 17/12 divided by 64?