Pregunta
\( 8 \quad \frac { 30 } { 12 } \div \frac { 9 } { 4 } \)
Ask by Li Young. in South Africa
Feb 14,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The result is \(\frac{80}{9}\) or \(8\frac{8}{9}\) or approximately \(8.888\).
Solución
Calculate or simplify the expression \( 8 \times \frac{30}{12} \div \frac{9}{4} \).
Calculate the value by following steps:
- step0: Calculate:
\(8\times \frac{30}{12}\div \frac{9}{4}\)
- step1: Reduce the fraction:
\(8\times \frac{5}{2}\div \frac{9}{4}\)
- step2: Multiply the numbers:
\(20\div \frac{9}{4}\)
- step3: Multiply by the reciprocal:
\(20\times \frac{4}{9}\)
- step4: Multiply:
\(\frac{20\times 4}{9}\)
- step5: Multiply:
\(\frac{80}{9}\)
The result of \(8 \times \frac{30}{12} \div \frac{9}{4}\) is \(\frac{80}{9}\) or \(8\frac{8}{9}\) or \(8.888...\)
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Simplifique esta solución Mind Expander
Let's break this down! First, we convert the mixed number. The whole number 8 can be written as \( \frac{8}{1} \). Now, convert \( \frac{30}{12} \) to its simplest form, which is \( \frac{5}{2} \). The operation now simplifies to: \[ \frac{8}{1} + \frac{5}{2} \div \frac{9}{4} \] To divide by a fraction, multiply by its reciprocal: \[ \frac{5}{2} \times \frac{4}{9} = \frac{20}{18} = \frac{10}{9} \] Now, we can add: \[ 8 + \frac{10}{9} = 8 + 1.11 \approx 9.11 \text{ or } \frac{82}{9} \text{ as an improper fraction}. \] So, the final result is approximately \( 9.11 \) or \( \frac{82}{9} \).
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