Pregunta
Find equivalent fractions to compare. Then, write \( >,< \), or \( = \). \( \begin{array}{l}\frac{3}{8} ? \frac{9}{10} \\ \quad=\end{array} \)
Ask by Bond Collins. in the United States
Feb 25,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( \frac{3}{8} < \frac{9}{10} \)
Solución
To compare 3/8 and 9/10 using equivalent fractions, first find a common denominator. A good choice is 40, since 8 × 5 = 40 and 10 × 4 = 40.
Step 1: Convert each fraction:
3/8 = (3 × 5)/(8 × 5) = 15/40
9/10 = (9 × 4)/(10 × 4) = 36/40
Step 2: Compare the equivalent fractions:
15/40 < 36/40
Thus, 3/8 < 9/10.
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Simplifique esta solución Extra Insights
To compare \(\frac{3}{8}\) and \(\frac{9}{10}\), we can find equivalent fractions with a common denominator. The least common multiple of 8 and 10 is 40. For \(\frac{3}{8}\): \(\frac{3}{8} = \frac{3 \times 5}{8 \times 5} = \frac{15}{40}\) For \(\frac{9}{10}\): \(\frac{9}{10} = \frac{9 \times 4}{10 \times 4} = \frac{36}{40}\) Now we can compare: \(\frac{15}{40} < \frac{36}{40}\) Thus, \(\frac{3}{8} < \frac{9}{10}\).
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