Solving Formulas with Fractions
Solving formulas with fractions is a Grade 7 algebra skill in Big Ideas Math Advanced 2, Chapter 1: Equations, where the key strategy is to eliminate fractions by multiplying both sides by the denominator before isolating the target variable. For example, to solve h equals 2A divided by (b1 plus b2) for b1, multiply both sides by (b1 plus b2), distribute, and isolate b1 using inverse operations.
Key Concepts
To solve a formula for a specific variable when fractions are present, first clear the fractions by multiplying the entire equation by the denominator or LCD. Then, use inverse operations to isolate the desired variable on one side of the equation.
Common Questions
How do you solve a formula that contains fractions for a specific variable?
First multiply both sides by the denominator to clear the fraction, then use inverse operations to isolate the target variable.
How do you solve A equals one-half base times height for base?
Multiply both sides by 2 to get 2A equals base times height, then divide both sides by h to get base equals 2A divided by h.
What is the first step when solving a formula with fractions?
Multiply both sides of the equation by the denominator to eliminate the fractions and simplify the equation.
What textbook covers solving formulas with fractions in Grade 7?
Big Ideas Math Advanced 2, Chapter 1: Equations covers solving multi-variable formulas including those with fractions.