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14. $1\\frac{17}{20}$ 12. $\\frac{1}{5}$ 15. $3\\frac{1}{200}$

Question

  1. $1\frac{17}{20}$ 12. $\frac{1}{5}$ 15. $3\frac{1}{200}$

Explanation:

Response

Assuming the problem is to convert the mixed number \(1\frac{17}{20}\) to an improper fraction or a decimal. Let's do both.

Converting to Improper Fraction

Step1: Recall the formula for converting mixed number \(a\frac{b}{c}\) to improper fraction: \(\frac{a\times c + b}{c}\)

For \(1\frac{17}{20}\), \(a = 1\), \(b = 17\), \(c = 20\)

Step2: Apply the formula

\(1\times20 + 17 = 20 + 17 = 37\)
So the improper fraction is \(\frac{37}{20}\)

Converting to Decimal

Step1: Convert the fractional part \(\frac{17}{20}\) to decimal. Divide 17 by 20.

\(17\div20 = 0.85\)

Step2: Add the whole number part (1) to the decimal of the fractional part.

\(1 + 0.85 = 1.85\)

If the problem was to convert to improper fraction:

Answer:

\(\frac{37}{20}\)

If the problem was to convert to decimal: