Question

1. micah’s rain gauge showed that \\(\frac{19}{2}\\) centimeters of rain fell last month. this month, the rain gauge measured \\(\frac{103}{10}\\) centimeters. how many more centimeters of rain fell this month than last month?

Explanation:

Step1: Identify the formula

To find how many more centimeters of rain fell this month, we subtract the rain from last month from the rain this month. So the formula is: This month's rain - Last month's rain = Difference.
So we need to calculate $\frac{103}{10}-\frac{19}{2}$.

Step2: Find a common denominator

The denominators are 10 and 2. The least common denominator is 10. So we rewrite $\frac{19}{2}$ with denominator 10.
$\frac{19}{2}=\frac{19\times5}{2\times5}=\frac{95}{10}$

Step3: Subtract the fractions

Now we subtract: $\frac{103}{10}-\frac{95}{10}=\frac{103 - 95}{10}=\frac{8}{10}$

Step4: Simplify the fraction

Simplify $\frac{8}{10}$ by dividing numerator and denominator by 2: $\frac{8\div2}{10\div2}=\frac{4}{5}$

Answer:

$\frac{4}{5}$ centimeters