Question

a renovation project required 3/5 of a truck-load of sand, 3/10 of a truck-load of dirt, 1/2 of a truck-load of cement, and 1/10 of a truck-load of stone. how many truck-loads of material were needed in all? truck-loads

Explanation:

Step1: Convert to common denominator

To add the fractions, find a common denominator (10 here). Convert each fraction:
$\frac{3}{5} = \frac{6}{10}$, $\frac{1}{2} = \frac{5}{10}$.

Step2: Add all fractions

Sum the fractions: $\frac{6}{10} + \frac{3}{10} + \frac{5}{10} + \frac{1}{10} = \frac{6 + 3 + 5 + 1}{10} = \frac{15}{10}$.

Step3: Simplify the result

Simplify $\frac{15}{10}$ to $\frac{3}{2}$ (or 1.5).

Answer:

$\frac{3}{2}$ (or 1.5)