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Answer :
Sure! Let's solve the expression [tex]\(20 \frac{4}{15} - \frac{14}{15}\)[/tex] step-by-step.
1. Convert the Mixed Number to an Improper Fraction:
- The mixed number is [tex]\(20 \frac{4}{15}\)[/tex].
- First, change [tex]\(20 \frac{4}{15}\)[/tex] to an improper fraction.
- To do this, multiply the whole number 20 by the denominator 15, then add the numerator 4.
- [tex]\(20 \times 15 = 300\)[/tex]
- Add this result to the numerator: [tex]\(300 + 4 = 304\)[/tex]
- So, [tex]\(20 \frac{4}{15}\)[/tex] becomes [tex]\(\frac{304}{15}\)[/tex].
2. Subtract the Fraction:
- Now subtract [tex]\(\frac{14}{15}\)[/tex] from [tex]\(\frac{304}{15}\)[/tex].
- Since the denominators are the same, you can subtract the numerators directly:
- [tex]\(304 - 14 = 290\)[/tex]
- The result is [tex]\(\frac{290}{15}\)[/tex].
3. Simplify the Fraction (if necessary):
- Divide the numerator and the denominator by their greatest common divisor to simplify further if needed.
- Here, [tex]\(\frac{290}{15}\)[/tex] simplifies to approximately [tex]\(19.333333333333332\)[/tex] as a decimal.
Therefore, the result of the expression [tex]\(20 \frac{4}{15} - \frac{14}{15}\)[/tex] is approximately [tex]\(19.333333333333332\)[/tex].
1. Convert the Mixed Number to an Improper Fraction:
- The mixed number is [tex]\(20 \frac{4}{15}\)[/tex].
- First, change [tex]\(20 \frac{4}{15}\)[/tex] to an improper fraction.
- To do this, multiply the whole number 20 by the denominator 15, then add the numerator 4.
- [tex]\(20 \times 15 = 300\)[/tex]
- Add this result to the numerator: [tex]\(300 + 4 = 304\)[/tex]
- So, [tex]\(20 \frac{4}{15}\)[/tex] becomes [tex]\(\frac{304}{15}\)[/tex].
2. Subtract the Fraction:
- Now subtract [tex]\(\frac{14}{15}\)[/tex] from [tex]\(\frac{304}{15}\)[/tex].
- Since the denominators are the same, you can subtract the numerators directly:
- [tex]\(304 - 14 = 290\)[/tex]
- The result is [tex]\(\frac{290}{15}\)[/tex].
3. Simplify the Fraction (if necessary):
- Divide the numerator and the denominator by their greatest common divisor to simplify further if needed.
- Here, [tex]\(\frac{290}{15}\)[/tex] simplifies to approximately [tex]\(19.333333333333332\)[/tex] as a decimal.
Therefore, the result of the expression [tex]\(20 \frac{4}{15} - \frac{14}{15}\)[/tex] is approximately [tex]\(19.333333333333332\)[/tex].
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