What is the value of \( a \) in the equation below? \[ \frac{10 a}{3}-1.5=17.5 \]

To find the value of \( a \) in the equation: \[ \frac{10 a}{3} - 1.5 = 17.5 \] follow these steps: ### Step 1: Add 1.5 to Both Sides Start by isolating the term containing \( a \). Add 1.5 to both sides of the equation to eliminate the constant term on the left side. \[ \frac{10 a}{3} - 1.5 + 1.5 = 17.5 + 1.5 \] This simplifies to: \[ \frac{10 a}{3} = 19 \] ### Step 2: Eliminate the Fraction To remove the denominator (which is 3) from the left side, multiply both sides of the equation by 3. \[ 3 \times \frac{10 a}{3} = 19 \times 3 \] This simplifies to: \[ 10 a = 57 \] ### Step 3: Solve for \( a \) Finally, divide both sides by 10 to solve for \( a \). \[ a = \frac{57}{10} = 5.7 \] ### Conclusion The value of \( a \) is **5.7**.