Pregunta
\begin{tabular}{l|l}\hline Subtract and simplify. & \( \begin{array}{l}\frac{8}{9}-\frac{22}{27}=\square \\ \frac{8}{9}-\frac{22}{27}\end{array} \) \\ \( \begin{array}{l}\text { (Simplify your answer. Type } \\ \text { a fraction.) }\end{array} \)\end{tabular}
Ask by Moreno Lindsey. in the United States
Feb 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The simplified answer is \( \frac{2}{27} \).
Solución
To subtract the fractions, follow these steps:
1. Find a common denominator. Since 9 and 27 are the denominators, the common denominator is 27.
2. Convert 8/9 to an equivalent fraction with denominator 27 by multiplying numerator and denominator by 3:
8/9 = (8×3)/(9×3) = 24/27.
3. Now subtract:
24/27 − 22/27 = (24 − 22)/27 = 2/27.
The simplified answer is 2/27.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To subtract the fractions \( \frac{8}{9} \) and \( \frac{22}{27} \), we first need a common denominator. The least common multiple of 9 and 27 is 27. Now, we convert \( \frac{8}{9} \) to an equivalent fraction with a denominator of 27: \[ \frac{8}{9} = \frac{8 \times 3}{9 \times 3} = \frac{24}{27} \] Next, we can perform the subtraction: \[ \frac{24}{27} - \frac{22}{27} = \frac{24 - 22}{27} = \frac{2}{27} \] So, the simplified answer is: \[ \frac{2}{27} \]
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