Question

1. the area of the simpsons new house is 150% of the area of their old house. write this percent as a fraction and as a decimal.

Explanation:

Step1: Convert percent to fraction

A percent is a ratio out of 100, so write 150% as $\frac{150}{100}$. Simplify by dividing numerator and denominator by their greatest common divisor (50):
$\frac{150 \div 50}{100 \div 50} = \frac{3}{2}$

Step2: Convert percent to decimal

Divide the percent value by 100, which moves the decimal point two places left:
$150 \div 100 = 1.5$

Answer:

As a fraction: $\frac{3}{2}$ (or $\frac{150}{100}$ before simplification)
As a decimal: $1.5$