Solve the equation presented in the image.
Understand the Problem
The question presents a mathematical equation that involves fractions and gives numbers displayed in a legible format. The aim is to solve or simplify this equation step by step.
Answer
The answer is $x = \frac{1}{3}$.
Answer for screen readers
The final answer is:
$$ x = \frac{1}{3} $$
Steps to Solve
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Write the initial equation
The equation in the image can be interpreted as:
$$ \frac{5}{6} - \frac{1}{2} = x $$ -
Find a common denominator
The denominators here are 6 and 2. The least common denominator (LCD) is 6. So, we need to express $\frac{1}{2}$ with a denominator of 6:
$$ \frac{1}{2} = \frac{1 \cdot 3}{2 \cdot 3} = \frac{3}{6} $$ -
Rewrite the equation
Now, we insert this into our equation:
$$ \frac{5}{6} - \frac{3}{6} = x $$ -
Perform the subtraction
Since the denominators are now the same, we can subtract the numerators:
$$ x = \frac{5 - 3}{6} = \frac{2}{6} $$ -
Simplify the result
The fraction $\frac{2}{6}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD) which is 2:
$$ x = \frac{2 \div 2}{6 \div 2} = \frac{1}{3} $$
The final answer is:
$$ x = \frac{1}{3} $$
More Information
The result shows that when you subtract $\frac{1}{2}$ from $\frac{5}{6}$, you are left with $\frac{1}{3}$. This exercise demonstrates how to handle fractions and perform arithmetic operations with them.
Tips
- Mistaking the subtraction of fractions: Always ensure that the denominators are the same before performing the subtraction.
- Forgetting to simplify the final result: Simplification is important to present the answer in its simplest form.
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