Solve 51/7(-0.4-7)-33/7(14-7)

$$5 \frac{ 1 }{ 7 } (-0.4-7)-3 \frac{ 3 }{ 7 } (14-7)$$

Evaluate

$$-\frac{2172}{35}\approx -62.057142857$$

Solution Steps

Multiply 5 and 7 to get 35.

$$\frac{35+1}{7}\left(-0.4-7\right)-\frac{3\times 7+3}{7}\left(14-7\right)$$

Add 35 and 1 to get 36.

$$\frac{36}{7}\left(-0.4-7\right)-\frac{3\times 7+3}{7}\left(14-7\right)$$

Subtract 7 from -0.4 to get -7.4.

$$\frac{36}{7}\left(-7.4\right)-\frac{3\times 7+3}{7}\left(14-7\right)$$

Convert decimal number -7.4 to fraction -\frac{74}{10}. Reduce the fraction -\frac{74}{10} to lowest terms by extracting and canceling out 2.

$$\frac{36}{7}\left(-\frac{37}{5}\right)-\frac{3\times 7+3}{7}\left(14-7\right)$$

Multiply \frac{36}{7} times -\frac{37}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{36\left(-37\right)}{7\times 5}-\frac{3\times 7+3}{7}\left(14-7\right)$$

Do the multiplications in the fraction \frac{36\left(-37\right)}{7\times 5}.

$$\frac{-1332}{35}-\frac{3\times 7+3}{7}\left(14-7\right)$$

Fraction \frac{-1332}{35} can be rewritten as -\frac{1332}{35} by extracting the negative sign.

$$-\frac{1332}{35}-\frac{3\times 7+3}{7}\left(14-7\right)$$

Multiply 3 and 7 to get 21.

$$-\frac{1332}{35}-\frac{21+3}{7}\left(14-7\right)$$

Add 21 and 3 to get 24.

$$-\frac{1332}{35}-\frac{24}{7}\left(14-7\right)$$

Subtract 7 from 14 to get 7.

$$-\frac{1332}{35}-\frac{24}{7}\times 7$$

Cancel out 7 and 7.

$$-\frac{1332}{35}-24$$

Convert 24 to fraction \frac{840}{35}.

$$-\frac{1332}{35}-\frac{840}{35}$$

Since -\frac{1332}{35} and \frac{840}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1332-840}{35}$$

Subtract 840 from -1332 to get -2172.

$$-\frac{2172}{35}$$

Factor

$$-\frac{2172}{35} = -62\frac{2}{35} = -62.05714285714286$$