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The result is \( \frac{22}{9} \) or \( 2\frac{4}{9} \) or \( 2.4\dot{4} \).
Solución
Calculate or simplify the expression \( 20/3-38/9 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{20}{3}-\frac{38}{9}\)
- step1: Reduce fractions to a common denominator:
\(\frac{20\times 3}{3\times 3}-\frac{38}{9}\)
- step2: Multiply the numbers:
\(\frac{20\times 3}{9}-\frac{38}{9}\)
- step3: Transform the expression:
\(\frac{20\times 3-38}{9}\)
- step4: Multiply the numbers:
\(\frac{60-38}{9}\)
- step5: Subtract the numbers:
\(\frac{22}{9}\)
The result of \( \frac{20}{3}-\frac{38}{9} \) is \( \frac{22}{9} \) or \( 2\frac{4}{9} \) or \( 2.4\dot{4} \).
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Simplifique esta solución Extra Insights
To solve \( \frac{20}{3}-\frac{38}{9} \), we first need a common denominator. The denominators are 3 and 9, with 9 being the least common multiple. We convert \( \frac{20}{3} \) to have a denominator of 9: \[ \frac{20}{3} = \frac{20 \times 3}{3 \times 3} = \frac{60}{9} \] Now, we can subtract: \[ \frac{60}{9} - \frac{38}{9} = \frac{60 - 38}{9} = \frac{22}{9} \] So the final answer is \( \frac{22}{9} \).
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