Math Problem Statement
Simplify the expression \( \frac{\frac{1}{3z}}{\frac{-3}{2z} - \frac{1}{2z}} \).
Solution
Let’s simplify the given complex fraction step by step.
The given expression is:
Step 1: Simplify the denominator
The denominator is:
Since both terms have a common denominator , we can combine them:
Simplify the fraction:
[ \frac{-4}{2z} = \frac{-
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Rational Expressions
Fractions
Formulas
\( \frac{a}{b} - \frac{c}{b} = \frac{a - c}{b} \)
Simplifying complex fractions by dividing
Theorems
-
Suitable Grade Level
Grades 8-10
Related Recommendation
Simplifying Complex Rational Expressions: Step-by-Step Solution
Simplify \( \frac{z^{7/3}}{z^{5/3}} \) Using Properties of Exponents
Simplifying the Expression \( \frac{3x(2x + 3y)}{15z} \div \frac{3x}{5z} \)
Simplifying Expressions: Fraction with a Complex Denominator
Solve Rational Expression Equation: 2z/(z + 2) - 3z/(2z - 3)