Pregunta
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The sum is 14.3.
Solución
Calculate or simplify the expression \( 9\frac{4}{10}+4\frac{9}{10} \).
Calculate the value by following steps:
- step0: Calculate:
\(9\frac{4}{10}+4\frac{9}{10}\)
- step1: Convert the expressions:
\(\frac{94}{10}+\frac{49}{10}\)
- step2: Evaluate the power:
\(\frac{47}{5}+\frac{49}{10}\)
- step3: Reduce fractions to a common denominator:
\(\frac{47\times 2}{5\times 2}+\frac{49}{10}\)
- step4: Multiply the numbers:
\(\frac{47\times 2}{10}+\frac{49}{10}\)
- step5: Transform the expression:
\(\frac{47\times 2+49}{10}\)
- step6: Multiply the numbers:
\(\frac{94+49}{10}\)
- step7: Add the numbers:
\(\frac{143}{10}\)
The sum of \(9\frac{4}{10}\) and \(4\frac{9}{10}\) is \(14\frac{3}{10}\) or 14.3.
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Simplifique esta solución Extra Insights
To add mixed numbers, first, convert them to improper fractions. For \( 9 \frac{4}{10} \), multiply 9 by 10 (which gives 90) and add 4, resulting in \( \frac{94}{10} \). For \( 4 \frac{9}{10} \), multiply 4 by 10 (which gives 40) and add 9, resulting in \( \frac{49}{10} \). Now, add the two improper fractions: \[ \frac{94}{10} + \frac{49}{10} = \frac{94 + 49}{10} = \frac{143}{10} \] Convert \( \frac{143}{10} \) back to a mixed number: \( 14 \frac{3}{10} \). Thus, \( 9 \frac{4}{10} + 4 \frac{9}{10} = 14 \frac{3}{10} \).
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