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1. \( 4 \frac{4}{8}-2 \frac{16}{19}= \)

Ask by Welch Hilton. in the United States
Feb 03,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The result is approximately 1.657895 or \(1\frac{25}{38}\).

Solution

Calculate or simplify the expression \( 4\frac{4}{8}-2\frac{16}{19} \). Calculate the value by following steps: - step0: Calculate: \(4\frac{4}{8}-2\frac{16}{19}\) - step1: Convert the expressions: \(\frac{36}{8}-\frac{54}{19}\) - step2: Rewrite the expression: \(\frac{9}{2}-\frac{54}{19}\) - step3: Reduce fractions to a common denominator: \(\frac{9\times 19}{2\times 19}-\frac{54\times 2}{19\times 2}\) - step4: Multiply the numbers: \(\frac{9\times 19}{38}-\frac{54\times 2}{19\times 2}\) - step5: Multiply the numbers: \(\frac{9\times 19}{38}-\frac{54\times 2}{38}\) - step6: Transform the expression: \(\frac{9\times 19-54\times 2}{38}\) - step7: Multiply the numbers: \(\frac{171-54\times 2}{38}\) - step8: Multiply the numbers: \(\frac{171-108}{38}\) - step9: Subtract the numbers: \(\frac{63}{38}\) The result of \(4\frac{4}{8}-2\frac{16}{19}\) is approximately 1.657895 or \(1\frac{25}{38}\).

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Mind Expander

To solve \( 4 \frac{4}{8}-2 \frac{16}{19} \), first convert the mixed numbers into improper fractions. For \( 4 \frac{4}{8} \): \( 4 \times 8 + 4 = 32 + 4 = 36 \) So, \( 4 \frac{4}{8} = \frac{36}{8} = \frac{9}{2} \) after simplifying. For \( 2 \frac{16}{19} \): \( 2 \times 19 + 16 = 38 + 16 = 54 \) So, \( 2 \frac{16}{19} = \frac{54}{19} \). Now, we need a common denominator to subtract these fractions. The least common denominator of 2 and 19 is 38. Converting both fractions: \( \frac{9}{2} = \frac{9 \times 19}{2 \times 19} = \frac{171}{38} \) \( \frac{54}{19} = \frac{54 \times 2}{19 \times 2} = \frac{108}{38} \) Now we can subtract: \( \frac{171}{38} - \frac{108}{38} = \frac{171 - 108}{38} = \frac{63}{38} \). Thus, \( 4 \frac{4}{8} - 2 \frac{16}{19} = \frac{63}{38} \) or \( 1 \frac{25}{38} \) if you convert it back to a mixed number.

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