Pregunta
4) What is the sum? Complete the equation. \[ 6 \frac{1}{5}+\left(-7 \frac{3}{5}\right)=\square ? ? \]
Ask by Mathis Fleming. in the United States
Mar 08,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The sum is \(-1\frac{2}{5}\).
Solución
1. Write the mixed numbers as improper fractions:
\[
6 \frac{1}{5} = \frac{6 \times 5 + 1}{5} = \frac{31}{5}, \quad 7 \frac{3}{5} = \frac{7 \times 5 + 3}{5} = \frac{38}{5}
\]
2. Substitute into the original equation (with the second term being negative):
\[
\frac{31}{5} + \left(-\frac{38}{5}\right)
\]
3. Combine the fractions:
\[
\frac{31}{5} - \frac{38}{5} = \frac{31 - 38}{5} = \frac{-7}{5}
\]
4. Convert the improper fraction \(\frac{-7}{5}\) to a mixed number:
\[
\frac{-7}{5} = -1\frac{2}{5}
\]
The complete equation is:
\[
6 \frac{1}{5}+\left(-7 \frac{3}{5}\right) = -1\frac{2}{5}
\]
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución The Deep Dive
To solve the equation \( 6 \frac{1}{5} + \left(-7 \frac{3}{5}\right) \), start by converting the mixed numbers into improper fractions. The mixed number \( 6 \frac{1}{5} \) becomes \( \frac{31}{5} \) and \( -7 \frac{3}{5} \) becomes \( -\frac{38}{5} \). Now, we can add the fractions: \[ \frac{31}{5} + \left(-\frac{38}{5}\right) = \frac{31 - 38}{5} = \frac{-7}{5} \] Converting this back to a mixed number, we have \( -1 \frac{2}{5} \). So, the sum is: \[ -1 \frac{2}{5} \]
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
