Solving a Fractional Mathematical Equation
This image shows a mathematical equation in fractions that will result in a whole number or a fraction:
\[ \frac{13}{100} + \frac{5}{10} - \frac{1}{100} \]
To solve this equation, we can simplify the fractions where possible and then combine them:
- The fraction \(\frac{5}{10}\) simplifies to \(\frac{1}{2}\) because 5 is half of 10.
- The fractions \(\frac{13}{100}\) and \(\frac{1}{100}\) are both over 100, so they can be combined easily.
Now let's combine the simplified fractions:
\[ \frac{13}{100} - \frac{1}{100} = \frac{13 - 1}{100} = \frac{12}{100} \]
\[ \frac{12}{100}\] simplifies to \[\frac{3}{25}\] because both 12 and 100 are divisible by 4.
Now we have \(\frac{3}{25} + \frac{1}{2}\).
To combine these fractions, we need a common denominator. The smallest common denominator for 25 and 2 is 50.
\[ \frac{3}{25} = \frac{3 \times 2}{25 \times 2} = \frac{6}{50} \]
\[ \frac{1}{2} = \frac{1 \times 25}{2 \times 25} = \frac{25}{50} \]
Now we can add these fractions:
\[ \frac{6}{50} + \frac{25}{50} = \frac{6 + 25}{50} = \frac{31}{50} \]
So, the result of the equation is \(\frac{31}{50}\), which is a fraction, not a whole number.
