What is 512 and 7/8?
Understand the Problem
The image presents the number '512' followed by a fraction '7/8'. The user likely wants to perform a calculation or understand this mixed number. Without more context, it's difficult to determine the exact goal, but the prompt shows a numerical expression that can be evaluated.
Answer
$\frac{4103}{8} = 512.875$
Answer for screen readers
$\frac{4103}{8} = 512.875$
Steps to Solve
- Convert the mixed number to an improper fraction
A mixed number is converted to an improper fraction using the formula: $a\frac{b}{c} = \frac{a \cdot c + b}{c}$. In this case, $a = 512$, $b = 7$, and $c = 8$.
- Apply the formula
Substitute the values into the formula: $$ \frac{512 \cdot 8 + 7}{8} $$
- Perform the multiplication
Multiply 512 by 8: $512 \cdot 8 = 4096$
- Perform the addition
Add 7 to the result: $4096 + 7 = 4103$
- Write the improper fraction
The improper fraction is: $\frac{4103}{8}$
- Convert the improper fraction to a decimal (optional)
Divide 4103 by 8 to get the decimal representation. $4103 \div 8 = 512.875$
$\frac{4103}{8} = 512.875$
More Information
$512 \frac{7}{8}$ is equivalent to $\frac{4103}{8}$, which can also be written as the decimal $512.875$.
Tips
A common mistake is to add the numbers instead of multiplying and adding. For example, mistaking $512 \frac{7}{8}$ as $512 + \frac{7}{8}$ instead of $512 \cdot 8 + \frac{7}{8}$.
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