Pregunta
Find equivalent fractions to compare. Then, write \( >,< \), or \( = \). \( \begin{array}{l}\frac{7}{8} ? \frac{2}{4} \\ = \\ <\end{array} \)
Ask by Lang Robbins. in the United States
Feb 25,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
7/8 > 2/4
Solución
To compare 7/8 and 2/4, we can rewrite the fractions with a common denominator.
Step 1: Convert 2/4 to its simplest form.
2/4 simplifies to 1/2.
Step 2: Find a common denominator for 7/8 and 1/2. The denominator 8 works well.
Step 3: Convert 1/2 to a fraction with denominator 8.
1/2 = 4/8.
Step 4: Now compare:
7/8 versus 4/8. Since 7 > 4, it follows that 7/8 > 4/8.
Thus, 7/8 > 2/4.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To compare \(\frac{7}{8}\) and \(\frac{2}{4}\), we can convert \(\frac{2}{4}\) into an equivalent fraction with a common denominator. Since \(\frac{2}{4}\) simplifies to \(\frac{1}{2}\), we can express \(\frac{1}{2}\) using the denominator of 8: \(\frac{1}{2} = \frac{4}{8}\). Now that both fractions are in terms of the same denominator, we can compare them: \(\frac{7}{8} > \frac{4}{8}\). Thus, the answer is: \(\frac{7}{8} > \frac{2}{4}\).
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