Solve 1.68+2.16-1.92/4*(0.975*200-192)

$$1.68+ \frac{ 2.16-1.92 }{ 4 } \times (0.975 \times 200-192)$$

Evaluate

$$1.86$$

Solution Steps

Subtract 1.92 from 2.16 to get 0.24.

$$1.68+\frac{0.24}{4}\left(0.975\times 200-192\right)$$

Expand \frac{0.24}{4} by multiplying both numerator and the denominator by 100.

$$1.68+\frac{24}{400}\left(0.975\times 200-192\right)$$

Reduce the fraction \frac{24}{400} to lowest terms by extracting and canceling out 8.

$$1.68+\frac{3}{50}\left(0.975\times 200-192\right)$$

Multiply 0.975 and 200 to get 195.

$$1.68+\frac{3}{50}\left(195-192\right)$$

Subtract 192 from 195 to get 3.

$$1.68+\frac{3}{50}\times 3$$

Express \frac{3}{50}\times 3 as a single fraction.

$$1.68+\frac{3\times 3}{50}$$

Multiply 3 and 3 to get 9.

$$1.68+\frac{9}{50}$$

Convert decimal number 1.68 to fraction \frac{168}{100}. Reduce the fraction \frac{168}{100} to lowest terms by extracting and canceling out 4.

$$\frac{42}{25}+\frac{9}{50}$$

Least common multiple of 25 and 50 is 50. Convert \frac{42}{25} and \frac{9}{50} to fractions with denominator 50.

$$\frac{84}{50}+\frac{9}{50}$$

Since \frac{84}{50} and \frac{9}{50} have the same denominator, add them by adding their numerators.

$$\frac{84+9}{50}$$

Add 84 and 9 to get 93.

$$\frac{93}{50}$$

Factor

$$\frac{3 \cdot 31}{2 \cdot 5 ^ {2}} = 1\frac{43}{50} = 1.86$$