Solve 54*1.73-32/3*3.14

$$54 \times 1.73- \frac{ 32 }{ 3 } \times 3.14$$

Evaluate

$$\frac{8989}{150}\approx 59.926666667$$

Solution Steps

Multiply 54 and 1.73 to get 93.42.

$$93.42-\frac{32}{3}\times 3.14$$

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$93.42-\frac{32}{3}\times \frac{157}{50}$$

Multiply \frac{32}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$93.42-\frac{32\times 157}{3\times 50}$$

Do the multiplications in the fraction \frac{32\times 157}{3\times 50}.

$$93.42-\frac{5024}{150}$$

Reduce the fraction \frac{5024}{150} to lowest terms by extracting and canceling out 2.

$$93.42-\frac{2512}{75}$$

Convert decimal number 93.42 to fraction \frac{9342}{100}. Reduce the fraction \frac{9342}{100} to lowest terms by extracting and canceling out 2.

$$\frac{4671}{50}-\frac{2512}{75}$$

Least common multiple of 50 and 75 is 150. Convert \frac{4671}{50} and \frac{2512}{75} to fractions with denominator 150.

$$\frac{14013}{150}-\frac{5024}{150}$$

Since \frac{14013}{150} and \frac{5024}{150} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14013-5024}{150}$$

Subtract 5024 from 14013 to get 8989.

$$\frac{8989}{150}$$

Factor

$$\frac{89 \cdot 101}{2 \cdot 3 \cdot 5 ^ {2}} = 59\frac{139}{150} = 59.92666666666667$$