Question - Solving a Fractional Mathematical Equation
Solution:
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.
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