Solve 12%*238div456+4.8%*218div456=

$$12 \% \times 238 \div 456+4.8 \% \times 218 \div 456=$$

Evaluate

$$\frac{813}{9500}\approx 0.085578947$$

Solution Steps

Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{3}{25}\times 238}{456}+\frac{\frac{4.8}{100}\times 218}{456}$$

Express \frac{3}{25}\times 238 as a single fraction.

$$\frac{\frac{3\times 238}{25}}{456}+\frac{\frac{4.8}{100}\times 218}{456}$$

Multiply 3 and 238 to get 714.

$$\frac{\frac{714}{25}}{456}+\frac{\frac{4.8}{100}\times 218}{456}$$

Express \frac{\frac{714}{25}}{456} as a single fraction.

$$\frac{714}{25\times 456}+\frac{\frac{4.8}{100}\times 218}{456}$$

Multiply 25 and 456 to get 11400.

$$\frac{714}{11400}+\frac{\frac{4.8}{100}\times 218}{456}$$

Reduce the fraction \frac{714}{11400} to lowest terms by extracting and canceling out 6.

$$\frac{119}{1900}+\frac{\frac{4.8}{100}\times 218}{456}$$

Expand \frac{4.8}{100} by multiplying both numerator and the denominator by 10.

$$\frac{119}{1900}+\frac{\frac{48}{1000}\times 218}{456}$$

Reduce the fraction \frac{48}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{119}{1900}+\frac{\frac{6}{125}\times 218}{456}$$

Express \frac{6}{125}\times 218 as a single fraction.

$$\frac{119}{1900}+\frac{\frac{6\times 218}{125}}{456}$$

Multiply 6 and 218 to get 1308.

$$\frac{119}{1900}+\frac{\frac{1308}{125}}{456}$$

Express \frac{\frac{1308}{125}}{456} as a single fraction.

$$\frac{119}{1900}+\frac{1308}{125\times 456}$$

Multiply 125 and 456 to get 57000.

$$\frac{119}{1900}+\frac{1308}{57000}$$

Reduce the fraction \frac{1308}{57000} to lowest terms by extracting and canceling out 12.

$$\frac{119}{1900}+\frac{109}{4750}$$

Least common multiple of 1900 and 4750 is 9500. Convert \frac{119}{1900} and \frac{109}{4750} to fractions with denominator 9500.

$$\frac{595}{9500}+\frac{218}{9500}$$

Since \frac{595}{9500} and \frac{218}{9500} have the same denominator, add them by adding their numerators.

$$\frac{595+218}{9500}$$

Add 595 and 218 to get 813.

$$\frac{813}{9500}$$

Factor

$$\frac{3 \cdot 271}{19 \cdot 2 ^ {2} \cdot 5 ^ {3}} = 0.08557894736842105$$