Pregunta
4i) Divide. \( 22 \frac{1}{2} \div 1 \frac{2}{3}=\square \)
Ask by Schofield Burgess. in the United States
Feb 26,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The answer is 13 1/2.
Solución
Step 1: Convert the mixed numbers to improper fractions.
• 22 1/2 = (22 × 2 + 1) / 2 = 45/2
• 1 2/3 = (1 × 3 + 2) / 3 = 5/3
Step 2: Divide by multiplying by the reciprocal.
(45/2) ÷ (5/3) = (45/2) × (3/5)
Step 3: Multiply the numerators and denominators.
= (45 × 3) / (2 × 5) = 135/10
Step 4: Simplify the fraction.
Divide both numerator and denominator by 5:
= (135 ÷ 5) / (10 ÷ 5) = 27/2
Step 5: Convert 27/2 into a mixed number if desired.
27/2 = 13 1/2
Thus, the answer is:
□ = 13 1/2
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
To divide mixed numbers, first convert them to improper fractions. \( 22 \frac{1}{2} \) becomes \( \frac{45}{2} \) and \( 1 \frac{2}{3} \) becomes \( \frac{5}{3} \). The division of fractions is the same as multiplying by the reciprocal, so you do \( \frac{45}{2} \div \frac{5}{3} \), which is the same as \( \frac{45}{2} \times \frac{3}{5} \). This simplifies to \( \frac{135}{10} \), which can be reduced to \( 13 \frac{5}{10} \) or \( 13 \frac{1}{2} \). The result of \( 22 \frac{1}{2} \div 1 \frac{2}{3} \) is \( 13 \frac{1}{2} \).
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