Solving Fraction Equations
To solve the equation given in the image, we need to find the common denominator for the fractions and solve for the missing value. The equation is:
\( \frac{13}{100} + \frac{5}{10} = \frac{13}{100} + \square \)
First, notice that \( \frac{5}{10} \) can be simplified to \( \frac{1}{2} \), and that it needs to be converted to a fraction with a denominator of 100 to be easily added to the other fractions. This is done by finding an equivalent fraction with a denominator of 100:
\( \frac{1}{2} = \frac{1 \times 50}{2 \times 50} = \frac{50}{100} \)
Now we can add the fractions:
\( \frac{13}{100} + \frac{50}{100} = \frac{63}{100} \)
So we can update the equation:
\( \frac{13}{100} + \frac{50}{100} = \frac{13}{100} + \square \)
If we remove \( \frac{13}{100} \) from both sides:
\( \frac{50}{100} = \square \)
Therefore, the missing value in the square is \( \frac{50}{100} \), which can be simplified to \( \frac{1}{2} \).
Hence, the complete equation is:
\( \frac{13}{100} + \frac{5}{10} = \frac{13}{100} + \frac{1}{2} \)
