Solve 1/0.63*1500+2/2.38*800+3/9.5*300

$$\frac{ 1 }{ 0.63 } \times 1500+ \frac{ 2 }{ 2.38 } \times 800+ \frac{ 3 }{ 9.5 } \times 300$$

Evaluate

$$\frac{21352600}{6783}\approx 3147.958130621$$

Solution Steps

Expand \frac{1}{0.63} by multiplying both numerator and the denominator by 100.

$$\frac{100}{63}\times 1500+\frac{2}{2.38}\times 800+\frac{3}{9.5}\times 300$$

Express \frac{100}{63}\times 1500 as a single fraction.

$$\frac{100\times 1500}{63}+\frac{2}{2.38}\times 800+\frac{3}{9.5}\times 300$$

Multiply 100 and 1500 to get 150000.

$$\frac{150000}{63}+\frac{2}{2.38}\times 800+\frac{3}{9.5}\times 300$$

Reduce the fraction \frac{150000}{63} to lowest terms by extracting and canceling out 3.

$$\frac{50000}{21}+\frac{2}{2.38}\times 800+\frac{3}{9.5}\times 300$$

Expand \frac{2}{2.38} by multiplying both numerator and the denominator by 100.

$$\frac{50000}{21}+\frac{200}{238}\times 800+\frac{3}{9.5}\times 300$$

Reduce the fraction \frac{200}{238} to lowest terms by extracting and canceling out 2.

$$\frac{50000}{21}+\frac{100}{119}\times 800+\frac{3}{9.5}\times 300$$

Express \frac{100}{119}\times 800 as a single fraction.

$$\frac{50000}{21}+\frac{100\times 800}{119}+\frac{3}{9.5}\times 300$$

Multiply 100 and 800 to get 80000.

$$\frac{50000}{21}+\frac{80000}{119}+\frac{3}{9.5}\times 300$$

Least common multiple of 21 and 119 is 357. Convert \frac{50000}{21} and \frac{80000}{119} to fractions with denominator 357.

$$\frac{850000}{357}+\frac{240000}{357}+\frac{3}{9.5}\times 300$$

Since \frac{850000}{357} and \frac{240000}{357} have the same denominator, add them by adding their numerators.

$$\frac{850000+240000}{357}+\frac{3}{9.5}\times 300$$

Add 850000 and 240000 to get 1090000.

$$\frac{1090000}{357}+\frac{3}{9.5}\times 300$$

Expand \frac{3}{9.5} by multiplying both numerator and the denominator by 10.

$$\frac{1090000}{357}+\frac{30}{95}\times 300$$

Reduce the fraction \frac{30}{95} to lowest terms by extracting and canceling out 5.

$$\frac{1090000}{357}+\frac{6}{19}\times 300$$

Express \frac{6}{19}\times 300 as a single fraction.

$$\frac{1090000}{357}+\frac{6\times 300}{19}$$

Multiply 6 and 300 to get 1800.

$$\frac{1090000}{357}+\frac{1800}{19}$$

Least common multiple of 357 and 19 is 6783. Convert \frac{1090000}{357} and \frac{1800}{19} to fractions with denominator 6783.

$$\frac{20710000}{6783}+\frac{642600}{6783}$$

Since \frac{20710000}{6783} and \frac{642600}{6783} have the same denominator, add them by adding their numerators.

$$\frac{20710000+642600}{6783}$$

Add 20710000 and 642600 to get 21352600.

$$\frac{21352600}{6783}$$

Factor

$$\frac{241 \cdot 443 \cdot 2 ^ {3} \cdot 5 ^ {2}}{3 \cdot 7 \cdot 17 \cdot 19} = 3147\frac{6499}{6783} = 3147.958130620669$$