Q:

What is 18 Divided by 17/5?

Accepted Solution

A:

This is a breakdown of the mathematical procedure used to solve the problem of dividing 18 by 17/5. It is a step-by-step demonstration to determine the answer to the question: What is 18 divided by 17/5?

KEY TERM DEFINITIONS:

  • Whole number and dividend: 18
  • Denominator of the divisor: 5
  • Numerator of the divisor: 17

SETTING UP THE EQUATION:

The equation is 18 divided by 17 over 5, or in mathematical terms: \(18 \div \frac{17}{5}\).

MATHEMATICAL PROCESS:

  1. Multiply the whole number 18 by the denominator of the fraction, 5: \(18 \times 5 = 90\).
  2. Replace the numerator of the original fraction with the result: \(\frac{90}{17} \)

CONVERSIONS:
The answer as a fraction is: \(\frac{90}{17}\).
To convert the fraction to decimal form, divide 90 by 17 for a result of 5.29.

So, 18 divided by 17/5 is equivalent to 5.29 in decimal form, and \( \frac{90}{17} \) in fractional representation.
You can apply the same step-by-step approach to solve other similar problems like dividing 82 by 9/4, or determining the unknown number in the equation, "59 divided by what equals 44?"