Solve the expression (3953 ÷ (26h3)) and (392 ÷ (2h2)).
Understand the Problem
The question involves a mathematical expression that needs to be solved. It appears to include fractions and basic arithmetic operations.
Answer
The expressions simplify to: $$ \frac{152.36}{h^3} \quad \text{and} \quad \frac{196}{h^2} $$
Answer for screen readers
The simplified expressions are: $$ \frac{152.36}{h^3} \quad \text{and} \quad \frac{196}{h^2} $$
Steps to Solve
-
Set Up Each Division Expression We have two expressions to solve: $$ \frac{3953}{26h^3} \quad \text{and} \quad \frac{392}{2h^2} $$
-
Perform the First Division Calculate $$ \frac{3953}{26h^3} $$ To perform this calculation, we first divide the numbers and then keep $h^3$ in the denominator.
-
Calculate the Numerical Division Calculate $$ 3953 \div 26 $$ Performing this division, we get approximately $152.36$. Therefore, the expression simplifies to: $$ \frac{152.36}{h^3} $$
-
Perform the Second Division Now calculate $$ \frac{392}{2h^2} $$ Again, we divide the numbers first and keep $h^2$ in the denominator.
-
Calculate the Numerical Division Calculate $$ 392 \div 2 $$ This gives $196$. Therefore, the expression simplifies to: $$ \frac{196}{h^2} $$
-
Combine Both Results After simplifying both expressions, we can express them as: $$ \frac{152.36}{h^3} \quad \text{and} \quad \frac{196}{h^2} $$
The simplified expressions are: $$ \frac{152.36}{h^3} \quad \text{and} \quad \frac{196}{h^2} $$
More Information
These expressions represent the results of the divisions, with the numeric values calculated and expressed in terms of variable powers.
Tips
- Failing to keep the variable parts properly combined with the numerical results.
- Not performing the numerical division correctly, which can lead to incorrect simplifications.
AI-generated content may contain errors. Please verify critical information
