Question

a road repair crew spread 5/6 of a ton of gravel evenly over 5 feet of road. how many tons of gravel did they spread on each foot of road? write your answer as a fraction or as a whole or mixed number.

Explanation:

Step1: Set up division

We need to divide the total amount of gravel $\frac{5}{6}$ tons by the length of the road 5 feet. So the operation is $\frac{5}{6}\div5$.

Step2: Rewrite division as multiplication

Dividing by a number is the same as multiplying by its reciprocal. So $\frac{5}{6}\div5=\frac{5}{6}\times\frac{1}{5}$.

Step3: Multiply fractions

Multiply the numerators and denominators: $\frac{5\times1}{6\times5}=\frac{5}{30}$.

Step4: Simplify fraction

Simplify $\frac{5}{30}$ by dividing both the numerator and denominator by 5, we get $\frac{1}{6}$.

Answer:

$\frac{1}{6}$