Question

1. \frac{5}{12} + \frac{4}{12}

Explanation:

Step1: Identify the operation

We need to add two fractions with the same denominator. The rule for adding fractions with the same denominator is $\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}$.
Here, $a = 5$, $b = 4$, and $c = 12$.

Step2: Apply the fraction addition rule

Substitute the values into the formula: $\frac{5}{12} + \frac{4}{12} = \frac{5 + 4}{12}$.

Step3: Calculate the numerator

Calculate $5 + 4 = 9$. So the fraction becomes $\frac{9}{12}$.

Step4: Simplify the fraction

We can simplify $\frac{9}{12}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 3. $\frac{9\div3}{12\div3} = \frac{3}{4}$.

Answer:

$\frac{3}{4}$