Basic Mathematics
# Fractions

How many minutes are there in \(50\%\) of a third of the entire day?

**Details and assumptions**

An **entire day** consists of \(24\) hours.

In a certain positive fraction \( \frac{a}{b} \), the numerator is 2 less than the denominator. If the numerator and denominator are interchanged, the fraction is increased by \( 1 \frac{1}{15} \). Find \( a + b \).

**Details and assumptions**

A positive fraction is a fraction that has a positive value. For example, \( \frac {10}{12} \) and \( \frac { - 2.3}{-0.3} \) are both positive fractions.

The area of South Korea is \(\frac{10}{37}\) of the area of Japan. The area of North Korea is \(\frac{12}{25}\) of the area of Texas. If the area of Texas is \(\frac{25}{37}\) of that of Japan and the area of Japan is \(\frac{37}{982}\) of that of the United States, what fraction of Korean peninsular is South Korea?

**Note:** All the measurements given in this problem are approximate values.

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