Solve (3/7-1)*(1.6+3)

$$( \frac{ 3 }{ 7 } -1) \times (1.6+3)$$

Evaluate

$$-\frac{92}{35}\approx -2.628571429$$

Solution Steps

Convert 1 to fraction \frac{7}{7}.

$$\left(\frac{3}{7}-\frac{7}{7}\right)\left(1.6+3\right)$$

Since \frac{3}{7} and \frac{7}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-7}{7}\left(1.6+3\right)$$

Subtract 7 from 3 to get -4.

$$-\frac{4}{7}\left(1.6+3\right)$$

Add 1.6 and 3 to get 4.6.

$$-\frac{4}{7}\times 4.6$$

Convert decimal number 4.6 to fraction \frac{46}{10}. Reduce the fraction \frac{46}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{4}{7}\times \frac{23}{5}$$

Multiply -\frac{4}{7} times \frac{23}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\times 23}{7\times 5}$$

Do the multiplications in the fraction \frac{-4\times 23}{7\times 5}.

$$\frac{-92}{35}$$

Fraction \frac{-92}{35} can be rewritten as -\frac{92}{35} by extracting the negative sign.

$$-\frac{92}{35}$$

Factor

$$-\frac{92}{35} = -2\frac{22}{35} = -2.6285714285714286$$