Question

Evaluate the expression. $$ \frac{a b}{3 a-10} \text { when } a=8 \text { and } b=7 $$

Short answer

The result is 4.

Step-by-step solution

Substitute the given values

Replace the values of 'a' and 'b' in the given expression. The equation now reads: \( \frac{8 * 7}{3*8 - 10} \).

Perform the Multiplications

Perform multiplication operations in the numerator and the denominator independently. The equation will then look like this: \( \frac{56}{24 - 10} \).

Subtract in the Denominator

Perform the subtraction in the denominator. The equation becomes: \( \frac{56}{14} \).

Perform the Division

Perform the division operation to obtain the final result.