To calculate the amount of gravel used for the road, you multiply 4 1/2 tons by 1/5, converting 4 1/2 to an improper fraction (9/2) first, which gives you 9/10 of a ton used for the road repair.
The student asked how much of a ton of gravel was used for a road repair if the city originally ordered 4 1/2 tons and used 1/5 of that amount. To find the fraction of a ton used, you need to multiply the total amount of gravel by the fraction that was used. Here's the step-by-step calculation:
To find the fraction of a ton used for the road, you can multiply the total amount of gravel ordered (4 1/2) by the fraction used for the road (1/5).
First, convert 4 1/2 to an improper fraction:
4 1/2 = (4×2)+1/2 = 9/2
Now, multiply this by 1/5 to find the fraction used for the road:
9/2 × 1/5 = 9×1/2×5
=9/10
So, 9/10 of a ton was used for the road.
complete step by step
Sure, let's break down the problem step by step.
Amount of Gravel Ordered:
The city ordered 4(1/2) tons of gravel.
Amount Used for the Park Road:
The city used 1/5 of the ordered amount for the park road.
To find this, you multiply the amount ordered by 1/5
Amount used for road= ( 4 1/2)x 1/5
Let's simplify this expression.
Convert 4 (1/2) to an improper fraction: 4(1/2) - (9/2)
Now, multiply by : 1/5
Amount used for road - (9/2) x (1/5)
Multiply the numerators and denominators separately:
Amount used for road: - 9x1=9/2x5 = 10
Therefore, 9/10 tons of gravel were used to repair the park road.