Question - Solving Fraction Equations
Solution:
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:$$ \frac{13}{100} + \frac{5}{10} = \frac{13}{100} + \frac{1}{2} $$
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com