To find out how much more Justin's car weighs than Braden's car, we first need to convert their weights into improper fractions so we can perform the subtraction easily.
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Convert Justin's car weight (4 3/4 tons): \[ 4 \frac{3}{4} = \frac{4 \times 4 + 3}{4} = \frac{16 + 3}{4} = \frac{19}{4} \text{ tons} \]
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Convert Braden's car weight (2 1/12 tons): \[ 2 \frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{24 + 1}{12} = \frac{25}{12} \text{ tons} \]
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Now, we want to find how much more Justin's car weighs than Braden's car by subtracting Braden’s weight from Justin’s: \[ \frac{19}{4} - \frac{25}{12} \]
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To perform the subtraction, we need a common denominator. The least common multiple of 4 and 12 is 12. We will convert \(\frac{19}{4}\) to a fraction with a denominator of 12: \[ \frac{19}{4} = \frac{19 \times 3}{4 \times 3} = \frac{57}{12} \]
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Now we can subtract: \[ \frac{57}{12} - \frac{25}{12} = \frac{57 - 25}{12} = \frac{32}{12} \]
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Next, we simplify \(\frac{32}{12}\): \[ \frac{32}{12} = \frac{8}{3} \]
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Convert \(\frac{8}{3}\) to a mixed number: \[ 8 \div 3 = 2 \quad \text{remainder} : 2, \text{ so } \frac{8}{3} = 2 \frac{2}{3} \]
Thus, Justin's car weighs \( \boxed{2 \frac{2}{3}} \) tons more than Braden's car.