Solve 283*15%+43.425=

$$283 \times 15 \% +43.425=$$

Evaluate

$$85.875$$

Solution Steps

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$283\times \frac{3}{20}+43.425$$

Express 283\times \frac{3}{20} as a single fraction.

$$\frac{283\times 3}{20}+43.425$$

Multiply 283 and 3 to get 849.

$$\frac{849}{20}+43.425$$

Convert decimal number 43.425 to fraction \frac{43425}{1000}. Reduce the fraction \frac{43425}{1000} to lowest terms by extracting and canceling out 25.

$$\frac{849}{20}+\frac{1737}{40}$$

Least common multiple of 20 and 40 is 40. Convert \frac{849}{20} and \frac{1737}{40} to fractions with denominator 40.

$$\frac{1698}{40}+\frac{1737}{40}$$

Since \frac{1698}{40} and \frac{1737}{40} have the same denominator, add them by adding their numerators.

$$\frac{1698+1737}{40}$$

Add 1698 and 1737 to get 3435.

$$\frac{3435}{40}$$

Reduce the fraction \frac{3435}{40} to lowest terms by extracting and canceling out 5.

$$\frac{687}{8}$$

Factor

$$\frac{3 \cdot 229}{2 ^ {3}} = 85\frac{7}{8} = 85.875$$