In a house, the floor area of the living room is 26 m² and the floor area of the kitchen is 16.4 m².
Express the area of the living room as a fraction of the area of the kitchen. Give your answer in its simplest form.

The question asks to express the area of the living room (26 m²) as a fraction of the area of the kitchen (16.4 m²). This means we need to calculate the fraction: Fraction = (Area of living room) / (Area of kitchen) = 26 / 16.4 To work with this, we should remove the decimal. We can do this by multiplying the numerator and the denominator by 10: Fraction = (26 × 10) / (16.4 × 10) = 260 / 164 Now we need to simplify this fraction. Both numbers are even, so we can divide by 2: 260 ÷ 2 = 130 164 ÷ 2 = 82 So, the fraction is 130 / 82. Both are still even, so we divide by 2 again: 130 ÷ 2 = 65 82 ÷ 2 = 41 So, the fraction is 65 / 41. 41 is a prime number. We check if 65 is divisible by 41. It is not. Therefore, the fraction is in its simplest form. The answer is 65/41.