Solve 150d(1+11/100*2)

$$150 d ( 1 + \frac { 11 } { 100 } \times 2 )$$

Evaluate

$$183d$$

Solution Steps

Express \frac{11}{100}\times 2 as a single fraction.

$$150d\left(1+\frac{11\times 2}{100}\right)$$

Multiply 11 and 2 to get 22.

$$150d\left(1+\frac{22}{100}\right)$$

Reduce the fraction \frac{22}{100} to lowest terms by extracting and canceling out 2.

$$150d\left(1+\frac{11}{50}\right)$$

Convert 1 to fraction \frac{50}{50}.

$$150d\left(\frac{50}{50}+\frac{11}{50}\right)$$

Since \frac{50}{50} and \frac{11}{50} have the same denominator, add them by adding their numerators.

$$150d\times \frac{50+11}{50}$$

Add 50 and 11 to get 61.

$$150d\times \frac{61}{50}$$

Express 150\times \frac{61}{50} as a single fraction.

$$\frac{150\times 61}{50}d$$

Multiply 150 and 61 to get 9150.

$$\frac{9150}{50}d$$

Divide 9150 by 50 to get 183.

$$183d$$

Expand

$$183d$$

Solution Steps

Express \frac{11}{100}\times 2 as a single fraction.

$$150d\left(1+\frac{11\times 2}{100}\right)$$

Multiply 11 and 2 to get 22.

$$150d\left(1+\frac{22}{100}\right)$$

Reduce the fraction \frac{22}{100} to lowest terms by extracting and canceling out 2.

$$150d\left(1+\frac{11}{50}\right)$$

Convert 1 to fraction \frac{50}{50}.

$$150d\left(\frac{50}{50}+\frac{11}{50}\right)$$

Since \frac{50}{50} and \frac{11}{50} have the same denominator, add them by adding their numerators.

$$150d\times \frac{50+11}{50}$$

Add 50 and 11 to get 61.

$$150d\times \frac{61}{50}$$

Express 150\times \frac{61}{50} as a single fraction.

$$\frac{150\times 61}{50}d$$

Multiply 150 and 61 to get 9150.

$$\frac{9150}{50}d$$

Divide 9150 by 50 to get 183.

$$183d$$