Pregunta
2. And the difference of \( \frac{3}{3}-\frac{2}{8} \). Begin by finding common multiples of the denominators, \( \frac{3}{4} \) Muttiples of \( 4: 4 \). \( \frac{8}{8} \) Multiples of \( 8: 8 \), What is the least number that can be used as a common denominator?
Ask by Rodriquez Perkins. in the United States
Feb 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The least common denominator is 8.
Solución
To find a common denominator for the fractions 3/4 and 2/8, we first look for the least common multiple (LCM) of the denominators 4 and 8.
Step 1: List the multiples:
• Multiples of 4: 4, 8, 12, 16, …
• Multiples of 8: 8, 16, 24, …
Step 2: Identify the smallest common multiple:
• The smallest number that appears in both lists is 8.
Thus, the least number that can be used as a common denominator is 8.
Using this common denominator, you could rewrite the fractions as:
• 3/4 = (3 × 2)/(4 × 2) = 6/8
• 2/8 remains 2/8
Then, the difference between the two fractions is:
6/8 − 2/8 = (6 − 2)/8 = 4/8 = 1/2
But to answer the specific question, the least common denominator is 8.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Beyond the Answer
The least common denominator for the fractions \( \frac{3}{3} \) and \( \frac{2}{8} \) is 8, since it is the smallest multiple that both denominators can divide into evenly. By converting \( \frac{3}{3} \) to \( \frac{8}{8} \), you can effectively compare the two fractions. Now, when subtracting \( \frac{8}{8} - \frac{2}{8} \), you would compute \( \frac{8 - 2}{8} = \frac{6}{8} \). Simplifying that gives you \( \frac{3}{4} \) as the final answer!
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