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Zorluk: KolayFraction Multiplication and Division in Context

A maintenance worker is painting transport vehicles. It takes 35\frac{3}{5} of a gallon of paint to cover one vehicle. If the worker needs to paint 1515 identical vehicles, what is the total number of gallons of paint required?

Cevap: 9 gallons

Cevap

9
The correct answer is found by taking the required amount of paint per vehicle (35\frac{3}{5}) and multiplying it by the total number of vehicles (1515). The calculation is 15×35=15×35=455=915 \times \frac{3}{5} = \frac{15 \times 3}{5} = \frac{45}{5} = 9 gallons.

Adım Adım Çözüm

1
Set up the mathematical expression
15×3515 \times \frac{3}{5}
To find the total amount of paint, multiply the amount of paint needed for a single vehicle by the total number of vehicles.
2
Calculate the final value
99
Multiply the whole number 1515 by the numerator 33 to get 4545, then divide by the denominator 55 to get 99.

Anahtar Kavram

Multiplying a whole number by a fraction to find a total quantity.
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