Solve 69.008%text{of}699.998+32.99%text{of}399.9

$$69.008 \% \text { of } 699.998 + 32.99 \% \text { of } 399.9$$

Evaluate

$$614.98162984$$

Solution Steps

Expand \frac{69.008}{100} by multiplying both numerator and the denominator by 1000.

$$\frac{69008}{100000}\times 699.998+\frac{32.99}{100}\times 399.9$$

Reduce the fraction \frac{69008}{100000} to lowest terms by extracting and canceling out 16.

$$\frac{4313}{6250}\times 699.998+\frac{32.99}{100}\times 399.9$$

Convert decimal number 699.998 to fraction \frac{699998}{1000}. Reduce the fraction \frac{699998}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{4313}{6250}\times \frac{349999}{500}+\frac{32.99}{100}\times 399.9$$

Multiply \frac{4313}{6250} times \frac{349999}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4313\times 349999}{6250\times 500}+\frac{32.99}{100}\times 399.9$$

Do the multiplications in the fraction \frac{4313\times 349999}{6250\times 500}.

$$\frac{1509545687}{3125000}+\frac{32.99}{100}\times 399.9$$

Expand \frac{32.99}{100} by multiplying both numerator and the denominator by 100.

$$\frac{1509545687}{3125000}+\frac{3299}{10000}\times 399.9$$

Convert decimal number 399.9 to fraction \frac{3999}{10}.

$$\frac{1509545687}{3125000}+\frac{3299}{10000}\times \frac{3999}{10}$$

Multiply \frac{3299}{10000} times \frac{3999}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1509545687}{3125000}+\frac{3299\times 3999}{10000\times 10}$$

Do the multiplications in the fraction \frac{3299\times 3999}{10000\times 10}.

$$\frac{1509545687}{3125000}+\frac{13192701}{100000}$$

Least common multiple of 3125000 and 100000 is 12500000. Convert \frac{1509545687}{3125000} and \frac{13192701}{100000} to fractions with denominator 12500000.

$$\frac{6038182748}{12500000}+\frac{1649087625}{12500000}$$

Since \frac{6038182748}{12500000} and \frac{1649087625}{12500000} have the same denominator, add them by adding their numerators.

$$\frac{6038182748+1649087625}{12500000}$$

Add 6038182748 and 1649087625 to get 7687270373.

$$\frac{7687270373}{12500000}$$

Factor

$$\frac{63559 \cdot 120947}{2 ^ {5} \cdot 5 ^ {8}} = 614\frac{12270373}{12500000} = 614.98162984$$