Solve 1*10^6*1500/2*9.5-106251.6/3.14*1.5^2*9.5

$$\frac { 1 \times 10 ^ { 6 } \times 1500 } { 2 \times 9.5 } - \frac { 106251.6 } { 3.14 \times 1.5 ^ { 2 } \times 9.5 }$$

Evaluate

$$\frac{706485833120}{8949}\approx 78945785.352553358$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{750\times 10^{6}}{9.5}-\frac{106251.6}{3.14\times 1.5^{2}\times 9.5}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{750\times 1000000}{9.5}-\frac{106251.6}{3.14\times 1.5^{2}\times 9.5}$$

Multiply 750 and 1000000 to get 750000000.

$$\frac{750000000}{9.5}-\frac{106251.6}{3.14\times 1.5^{2}\times 9.5}$$

Expand \frac{750000000}{9.5} by multiplying both numerator and the denominator by 10.

$$\frac{7500000000}{95}-\frac{106251.6}{3.14\times 1.5^{2}\times 9.5}$$

Reduce the fraction \frac{7500000000}{95} to lowest terms by extracting and canceling out 5.

$$\frac{1500000000}{19}-\frac{106251.6}{3.14\times 1.5^{2}\times 9.5}$$

Calculate 1.5 to the power of 2 and get 2.25.

$$\frac{1500000000}{19}-\frac{106251.6}{3.14\times 2.25\times 9.5}$$

Multiply 3.14 and 2.25 to get 7.065.

$$\frac{1500000000}{19}-\frac{106251.6}{7.065\times 9.5}$$

Multiply 7.065 and 9.5 to get 67.1175.

$$\frac{1500000000}{19}-\frac{106251.6}{67.1175}$$

Expand \frac{106251.6}{67.1175} by multiplying both numerator and the denominator by 10000.

$$\frac{1500000000}{19}-\frac{1062516000}{671175}$$

Reduce the fraction \frac{1062516000}{671175} to lowest terms by extracting and canceling out 75.

$$\frac{1500000000}{19}-\frac{14166880}{8949}$$

Least common multiple of 19 and 8949 is 8949. Convert \frac{1500000000}{19} and \frac{14166880}{8949} to fractions with denominator 8949.

$$\frac{706500000000}{8949}-\frac{14166880}{8949}$$

Since \frac{706500000000}{8949} and \frac{14166880}{8949} have the same denominator, subtract them by subtracting their numerators.

$$\frac{706500000000-14166880}{8949}$$

Subtract 14166880 from 706500000000 to get 706485833120.

$$\frac{706485833120}{8949}$$

Factor

$$\frac{5 \cdot 4415536457 \cdot 2 ^ {5}}{3 \cdot 19 \cdot 157} = 78945785\frac{3155}{8949} = 78945785.35255335$$