Pregunta
Simplify by removing factors of 1 . \( \frac{16 y-12}{36} \) The simplified form is
Ask by Frazier Moreno. in the United States
Feb 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The simplified form is \( \frac{4}{9}y - \frac{1}{3} \).
Solución
Calculate or simplify the expression \( (16*y-12)/36 \).
Divide by following steps:
- step0: Divide the numbers:
\(\frac{\left(16y-12\right)}{36}\)
- step1: Calculate:
\(\frac{16y-12}{36}\)
- step2: Calculate:
\(\frac{4}{9}y-\frac{1}{3}\)
The simplified form of \( \frac{16y-12}{36} \) is \( \frac{4}{9}y-\frac{1}{3} \).
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Simplifique esta solución Beyond the Answer
To simplify \( \frac{16y - 12}{36} \), we first factor out the greatest common factor from the numerator. The GCF of 16 and 12 is 4, so we can rewrite the numerator: \( 16y - 12 = 4(4y - 3) \) Now we can rewrite the fraction: \( \frac{4(4y - 3)}{36} \) Next, we notice that 4 and 36 can also be simplified, as 4 is a factor of 36: \( 36 = 4 \times 9 \) Thus, simplifying gives us: \( \frac{4(4y - 3)}{4 \times 9} = \frac{4y - 3}{9} \) So, the simplified form is: \( \frac{4y - 3}{9} \)
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