Let's solve each of the equations step-by-step.
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For the equation __ ÷ 3 = 72: To find the missing number, multiply both sides by 3: \[ x = 72 \times 3 = 216 \]
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For the equation __ × 4 = 96: To find the missing number, divide both sides by 4: \[ x = \frac{96}{4} = 24 \]
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For the equation __ + 750 = 1,250: To find the missing number, subtract 750 from 1,250: \[ x = 1250 - 750 = 500 \]
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For the equation __ - 350 = 200: To find the missing number, add 350 to 200: \[ x = 200 + 350 = 550 \]
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For the fraction addition \( \frac{5}{6} + 2 \frac{3}{4} \): First, convert \( 2 \frac{3}{4} \) to an improper fraction: \[ 2 \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4} \]
Now, find a common denominator to add \( \frac{5}{6} \) and \( \frac{11}{4} \). The least common multiple of 6 and 4 is 12. Convert both fractions: \[ \frac{5}{6} = \frac{10}{12} \] \[ \frac{11}{4} = \frac{33}{12} \]
Now add the two fractions: \[ \frac{10}{12} + \frac{33}{12} = \frac{10 + 33}{12} = \frac{43}{12} \]
Converting \( \frac{43}{12} \) back to a mixed number: \[ 43 \div 12 = 3 \quad \text{remainder } 7 \] Therefore, \( \frac{43}{12} = 3 \frac{7}{12} \).
Final Answers:
- 216
- 24
- 500
- 550
- \( 3 \frac{7}{12} \)