Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Feb 09, 2024

Solve for $a$ where $9a=15$ . Simplify the solution for $a$ .

STEP 1

Assumptions
1. We are given the equation $9a = 15$ .
2. We need to solve for the variable $a$ .

STEP 2

To solve for $a$ , we need to isolate the variable on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of $a$ , which is 9.
$a = \frac{15}{9}$

STEP 3

Simplify the fraction on the right-hand side by finding the greatest common divisor (GCD) of the numerator and the denominator and then dividing both by the GCD.
The GCD of 15 and 9 is 3.

STEP 4

Divide both the numerator and the denominator by the GCD to simplify the fraction.
$a = \frac{15 \div 3}{9 \div 3}$

STEP 5

Perform the division to obtain the simplified value of $a$ .
$a = \frac{5}{3}$
The solution for $a$ is $\frac{5}{3}$ .

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