Solve 40/360*100=11.1%

$$\frac{ 40 }{ 360 } \times 100=11.1 \%$$

Verify

Solution Steps

Reduce the fraction \frac{40}{360} to lowest terms by extracting and canceling out 40.

$$\frac{1}{9}\times 100=\frac{11.1}{100}$$

Multiply \frac{1}{9} and 100 to get \frac{100}{9}.

$$\frac{100}{9}=\frac{11.1}{100}$$

Expand \frac{11.1}{100} by multiplying both numerator and the denominator by 10.

$$\frac{100}{9}=\frac{111}{1000}$$

Least common multiple of 9 and 1000 is 9000. Convert \frac{100}{9} and \frac{111}{1000} to fractions with denominator 9000.

$$\frac{100000}{9000}=\frac{999}{9000}$$

Compare \frac{100000}{9000} and \frac{999}{9000}.

$$\text{false}$$