Solve 1/1-3/2*4/1-1/3frac{2-1}{10}

$$\frac{ 1 }{ 1 } - \frac{ 3 }{ 2 } \times \frac{ 4 }{ 1 } - \frac{ 1 }{ 3 } \frac{ 2-1 }{ 10 }$$

Evaluate

$$-\frac{151}{30}\approx -5.033333333$$

Solution Steps

Divide 1 by 1 to get 1.

$$1-\frac{3}{2}\times \frac{4}{1}-\frac{1}{3}\times \frac{2-1}{10}$$

Anything divided by one gives itself.

$$1-\frac{3}{2}\times 4-\frac{1}{3}\times \frac{2-1}{10}$$

Express \frac{3}{2}\times 4 as a single fraction.

$$1-\frac{3\times 4}{2}-\frac{1}{3}\times \frac{2-1}{10}$$

Multiply 3 and 4 to get 12.

$$1-\frac{12}{2}-\frac{1}{3}\times \frac{2-1}{10}$$

Divide 12 by 2 to get 6.

$$1-6-\frac{1}{3}\times \frac{2-1}{10}$$

Subtract 6 from 1 to get -5.

$$-5-\frac{1}{3}\times \frac{2-1}{10}$$

Subtract 1 from 2 to get 1.

$$-5-\frac{1}{3}\times \frac{1}{10}$$

Multiply \frac{1}{3} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$-5-\frac{1\times 1}{3\times 10}$$

Do the multiplications in the fraction \frac{1\times 1}{3\times 10}.

$$-5-\frac{1}{30}$$

Convert -5 to fraction -\frac{150}{30}.

$$-\frac{150}{30}-\frac{1}{30}$$

Since -\frac{150}{30} and \frac{1}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-150-1}{30}$$

Subtract 1 from -150 to get -151.

$$-\frac{151}{30}$$

Factor

$$-\frac{151}{30} = -5\frac{1}{30} = -5.033333333333333$$