Solve: $-\frac{d}{48}=-\frac{11}{4}$
Answer (1)
Multiply both sides of the equation by − 1 : 48 d = 4 11 .
Multiply both sides by 48 to isolate d : d = 4 11 × 48 .
Simplify the expression: d = 11 × 12 .
Calculate the final value: d = 132 .
Explanation
Understanding the Problem We are given the equation − 48 d = − 4 11 . Our goal is to solve for the variable d .
Eliminating Negative Signs First, we multiply both sides of the equation by − 1 to get rid of the negative signs. This gives us 48 d = 4 11 .
Isolating d Next, we want to isolate d . To do this, we multiply both sides of the equation by 48 . So we have d = 4 11 × 48 .
Simplifying the Expression Now, we simplify the expression. We can divide 48 by 4 to get 12 . Thus, d = 11 × 12 .
Calculating the Final Value Finally, we multiply 11 by 12 to find the value of d . d = 132 .
Examples
Imagine you are scaling a recipe. If the original recipe calls for a certain amount of an ingredient (like − 4 11 cups) and you want to adjust the recipe to use a different total volume (related to − 48 d ), solving this equation helps you determine the new amount of the ingredient needed. This type of problem is useful in cooking, chemistry, and any situation where you need to scale quantities proportionally.
