Solve 375+91/5+(-33/8)+(-4.2)

$$375 + 9 \frac { 1 } { 5 } + ( - 3 \frac { 3 } { 8 } ) + ( - 4.2 )$$

Evaluate

$$376.625$$

Solution Steps

Multiply 9 and 5 to get 45.

$$375+\frac{45+1}{5}-\frac{3\times 8+3}{8}-4.2$$

Add 45 and 1 to get 46.

$$375+\frac{46}{5}-\frac{3\times 8+3}{8}-4.2$$

Convert 375 to fraction \frac{1875}{5}.

$$\frac{1875}{5}+\frac{46}{5}-\frac{3\times 8+3}{8}-4.2$$

Since \frac{1875}{5} and \frac{46}{5} have the same denominator, add them by adding their numerators.

$$\frac{1875+46}{5}-\frac{3\times 8+3}{8}-4.2$$

Add 1875 and 46 to get 1921.

$$\frac{1921}{5}-\frac{3\times 8+3}{8}-4.2$$

Multiply 3 and 8 to get 24.

$$\frac{1921}{5}-\frac{24+3}{8}-4.2$$

Add 24 and 3 to get 27.

$$\frac{1921}{5}-\frac{27}{8}-4.2$$

Least common multiple of 5 and 8 is 40. Convert \frac{1921}{5} and \frac{27}{8} to fractions with denominator 40.

$$\frac{15368}{40}-\frac{135}{40}-4.2$$

Since \frac{15368}{40} and \frac{135}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15368-135}{40}-4.2$$

Subtract 135 from 15368 to get 15233.

$$\frac{15233}{40}-4.2$$

Convert decimal number 4.2 to fraction \frac{42}{10}. Reduce the fraction \frac{42}{10} to lowest terms by extracting and canceling out 2.

$$\frac{15233}{40}-\frac{21}{5}$$

Least common multiple of 40 and 5 is 40. Convert \frac{15233}{40} and \frac{21}{5} to fractions with denominator 40.

$$\frac{15233}{40}-\frac{168}{40}$$

Since \frac{15233}{40} and \frac{168}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15233-168}{40}$$

Subtract 168 from 15233 to get 15065.

$$\frac{15065}{40}$$

Reduce the fraction \frac{15065}{40} to lowest terms by extracting and canceling out 5.

$$\frac{3013}{8}$$

Factor

$$\frac{23 \cdot 131}{2 ^ {3}} = 376\frac{5}{8} = 376.625$$