Pregunta
QUESTION \( 10 \cdot 1 \) POINT Add or subtract: \( \frac{14}{9}-\frac{1}{4} \) Enter your answer as a reduced fraction. Provide your answer below:
Ask by Ryan Ramos. in the United States
Feb 18,2025
Solución de inteligencia artificial de Upstudy
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The answer is \( \frac{47}{36} \).
Solución
Calculate or simplify the expression \( \frac{14}{9}-\frac{1}{4} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{14}{9}-\frac{1}{4}\)
- step1: Reduce fractions to a common denominator:
\(\frac{14\times 4}{9\times 4}-\frac{9}{4\times 9}\)
- step2: Multiply the numbers:
\(\frac{14\times 4}{36}-\frac{9}{4\times 9}\)
- step3: Multiply the numbers:
\(\frac{14\times 4}{36}-\frac{9}{36}\)
- step4: Transform the expression:
\(\frac{14\times 4-9}{36}\)
- step5: Multiply the numbers:
\(\frac{56-9}{36}\)
- step6: Subtract the numbers:
\(\frac{47}{36}\)
The result of \( \frac{14}{9}-\frac{1}{4} \) is \( \frac{47}{36} \) or \( 1\frac{11}{36} \) or \( 1.30\dot{5} \).
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Simplifique esta solución The Deep Dive
To subtract \( \frac{14}{9} - \frac{1}{4} \), we first find a common denominator. The least common multiple of 9 and 4 is 36. Now we convert each fraction: \[ \frac{14}{9} = \frac{14 \cdot 4}{9 \cdot 4} = \frac{56}{36} \] \[ \frac{1}{4} = \frac{1 \cdot 9}{4 \cdot 9} = \frac{9}{36} \] Now, we can subtract the two fractions: \[ \frac{56}{36} - \frac{9}{36} = \frac{56 - 9}{36} = \frac{47}{36} \] The fraction \( \frac{47}{36} \) is already in its simplest form, so the final answer is: \(\frac{47}{36}\)
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