Pregunta
Subtract. \[ \frac{5}{4 c}-\frac{5}{6 c} \] Simplify your answer as much as possible.
Ask by Tucker Bond. in the United States
Jan 29,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\[
\frac{5}{12c}
\]
Solución
To subtract the fractions \(\frac{5}{4c}\) and \(\frac{5}{6c}\), follow these steps:
1. **Find a Common Denominator:**
The denominators are \(4c\) and \(6c\). The least common denominator (LCD) is \(12c\).
2. **Convert Each Fraction:**
\[
\frac{5}{4c} = \frac{5 \times 3}{4c \times 3} = \frac{15}{12c}
\]
\[
\frac{5}{6c} = \frac{5 \times 2}{6c \times 2} = \frac{10}{12c}
\]
3. **Subtract the Fractions:**
\[
\frac{15}{12c} - \frac{10}{12c} = \frac{15 - 10}{12c} = \frac{5}{12c}
\]
4. **Simplify:**
The fraction \(\frac{5}{12c}\) is already in its simplest form.
**Final Answer:**
\[
\frac{5}{12c}
\]
Revisado y aprobado por el equipo de tutoría de UpStudy
Como
error msg
Explicar 
Simplifique esta solución Beyond the Answer
To subtract the fractions \( \frac{5}{4c} - \frac{5}{6c} \), we first need to find a common denominator. The denominators here are \(4c\) and \(6c\). The least common multiple (LCM) of \(4\) and \(6\) is \(12\), so the common denominator will be \(12c\). Now we can convert each fraction: 1. For \( \frac{5}{4c} \): \[ \frac{5}{4c} = \frac{5 \cdot 3}{4c \cdot 3} = \frac{15}{12c} \] 2. For \( \frac{5}{6c} \): \[ \frac{5}{6c} = \frac{5 \cdot 2}{6c \cdot 2} = \frac{10}{12c} \] Now we can subtract these two fractions: \[ \frac{15}{12c} - \frac{10}{12c} = \frac{15 - 10}{12c} = \frac{5}{12c} \] So, the simplified answer is: \[ \frac{5}{12c} \]
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
