Solve 37.28div7-289/700*4

$$37.28 \div 7- \frac{ 289 }{ 700 } \times 4$$

Evaluate

$$\frac{643}{175}\approx 3.674285714$$

Solution Steps

Expand \frac{37.28}{7} by multiplying both numerator and the denominator by 100.

$$\frac{3728}{700}-\frac{289}{700}\times 4$$

Reduce the fraction \frac{3728}{700} to lowest terms by extracting and canceling out 4.

$$\frac{932}{175}-\frac{289}{700}\times 4$$

Express \frac{289}{700}\times 4 as a single fraction.

$$\frac{932}{175}-\frac{289\times 4}{700}$$

Multiply 289 and 4 to get 1156.

$$\frac{932}{175}-\frac{1156}{700}$$

Reduce the fraction \frac{1156}{700} to lowest terms by extracting and canceling out 4.

$$\frac{932}{175}-\frac{289}{175}$$

Since \frac{932}{175} and \frac{289}{175} have the same denominator, subtract them by subtracting their numerators.

$$\frac{932-289}{175}$$

Subtract 289 from 932 to get 643.

$$\frac{643}{175}$$

Factor

$$\frac{643}{7 \cdot 5 ^ {2}} = 3\frac{118}{175} = 3.6742857142857144$$