Solve 2*(1div0.952+1div0.938)

$$2 \times (1 \div 0.952+1 \div 0.938)$$

Evaluate

$$\frac{33750}{7973}\approx 4.233036498$$

Solution Steps

Expand \frac{1}{0.952} by multiplying both numerator and the denominator by 1000.

$$2\left(\frac{1000}{952}+\frac{1}{0.938}\right)$$

Reduce the fraction \frac{1000}{952} to lowest terms by extracting and canceling out 8.

$$2\left(\frac{125}{119}+\frac{1}{0.938}\right)$$

Expand \frac{1}{0.938} by multiplying both numerator and the denominator by 1000.

$$2\left(\frac{125}{119}+\frac{1000}{938}\right)$$

Reduce the fraction \frac{1000}{938} to lowest terms by extracting and canceling out 2.

$$2\left(\frac{125}{119}+\frac{500}{469}\right)$$

Least common multiple of 119 and 469 is 7973. Convert \frac{125}{119} and \frac{500}{469} to fractions with denominator 7973.

$$2\left(\frac{8375}{7973}+\frac{8500}{7973}\right)$$

Since \frac{8375}{7973} and \frac{8500}{7973} have the same denominator, add them by adding their numerators.

$$2\times \frac{8375+8500}{7973}$$

Add 8375 and 8500 to get 16875.

$$2\times \frac{16875}{7973}$$

Express 2\times \frac{16875}{7973} as a single fraction.

$$\frac{2\times 16875}{7973}$$

Multiply 2 and 16875 to get 33750.

$$\frac{33750}{7973}$$

Factor

$$\frac{2 \cdot 3 ^ {3} \cdot 5 ^ {4}}{7 \cdot 17 \cdot 67} = 4\frac{1858}{7973} = 4.233036498181362$$