Pregunta
Evaluate the expression for the given variable value. \[ b+\frac{5}{12} ; b=\frac{5}{6} \] \( \square \) (Type a whole number, fraction, or mixed number.)
Ask by Ramos Fleming. in the United States
Feb 25,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The value of the expression is \( \frac{5}{4} \).
Solución
To evaluate the expression b + (5/12) when b = 5/6:
1. Substitute b with 5/6:
5/6 + 5/12
2. Find a common denominator. The common denominator of 6 and 12 is 12:
5/6 = 10/12
3. Add the fractions:
10/12 + 5/12 = 15/12
4. Simplify the fraction:
15/12 = 5/4
Thus, the value of the expression is 5/4.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To evaluate the expression \( b + \frac{5}{12} \) with \( b = \frac{5}{6} \), first, we need a common denominator for the fractions. The least common denominator of 6 and 12 is 12. Rewrite \( b \): \[ b = \frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12} \] Now, substitute \( b \) into the expression: \[ \frac{10}{12} + \frac{5}{12} = \frac{10 + 5}{12} = \frac{15}{12} \] Now simplify \( \frac{15}{12} \): \[ \frac{15}{12} = \frac{5}{4} = 1\frac{1}{4} \] So, the evaluated expression is \( 1\frac{1}{4} \) or \( \frac{5}{4} \).
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