Q:

80 Divided by What Equals 24?

Accepted Solution

A:

To solve a mathematical problem regarding division where one part in the equation is missing, we should look at it in the form of a simple algebraic expression. We express the unknown part as a variable 'x'. The question '80 divided by what equals 24' can then be expressed mathematically as 80 divided by x equals 24 or in equation form, \(\frac{80}{x} = 24\).

To solve this equation for x, we first multiply both sides of the equation by x to remove x from the denominator of the fraction: 80 = 24*x or \(80 = 24x\).

Next, we isolate x on one side of the equation by dividing both sides by 24, so that \(x = \frac{80}{24}\).

After simplifying this new equation, we find our answer: \(x = 3.333\). Here the final answer is rounded to the nearest three decimal places.

Using the same method, we can solve other division algebraic problems like this too.

\(y = \frac{39}{61}\)

\(y = \frac{72}{82}\)

\(y = \frac{10}{11} \div 76 \)

\(y = \frac{1}{9} \div \frac{3}{6} \)

\(y = 23 \div \frac{15}{12} \)