Solve 374/3.14*7-7

$$\frac{ 374 }{ 3.14 \times 7 } -7$$

Evaluate

$$\frac{11007}{1099}\approx 10.015468608$$

Solution Steps

Multiply 3.14 and 7 to get 21.98.

$$\frac{374}{21.98}-7$$

Expand \frac{374}{21.98} by multiplying both numerator and the denominator by 100.

$$\frac{37400}{2198}-7$$

Reduce the fraction \frac{37400}{2198} to lowest terms by extracting and canceling out 2.

$$\frac{18700}{1099}-7$$

Convert 7 to fraction \frac{7693}{1099}.

$$\frac{18700}{1099}-\frac{7693}{1099}$$

Since \frac{18700}{1099} and \frac{7693}{1099} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18700-7693}{1099}$$

Subtract 7693 from 18700 to get 11007.

$$\frac{11007}{1099}$$

Factor

$$\frac{1223 \cdot 3 ^ {2}}{7 \cdot 157} = 10\frac{17}{1099} = 10.015468607825296$$