Question

ivan picked up a toy with a mass of \\(\frac{7}{12}\\) kilograms. then he picked up another toy with a mass of \\(\frac{1}{12}\\) kilogram. what is the total mass of the toys he picked up? write your answer as a fraction in simplest form. \\(\square\\) kilograms

Explanation:

Step1: Add the two fractions

To find the total mass, we add the masses of the two toys. The masses are $\frac{7}{12}$ kilograms and $\frac{1}{12}$ kilograms. When adding fractions with the same denominator, we add the numerators and keep the denominator the same. So, $\frac{7}{12} + \frac{1}{12} = \frac{7 + 1}{12}$.

Step2: Simplify the result

Calculate the numerator: $7 + 1 = 8$. So we have $\frac{8}{12}$. Now, simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4. $\frac{8 \div 4}{12 \div 4} = \frac{2}{3}$.

Answer:

$\frac{2}{3}$