Solve 150+1/4+1{frac{3/7}-3}

$$150 + \frac { 1 } { 4 + \frac { 1 } { \frac { 3 } { 7 } } - 3 }$$

Evaluate

$$\frac{1503}{10}=150.3$$

Solution Steps

Divide 1 by \frac{3}{7} by multiplying 1 by the reciprocal of \frac{3}{7}.

$$150+\frac{1}{4+1\times \frac{7}{3}-3}$$

Multiply 1 and \frac{7}{3} to get \frac{7}{3}.

$$150+\frac{1}{4+\frac{7}{3}-3}$$

Convert 4 to fraction \frac{12}{3}.

$$150+\frac{1}{\frac{12}{3}+\frac{7}{3}-3}$$

Since \frac{12}{3} and \frac{7}{3} have the same denominator, add them by adding their numerators.

$$150+\frac{1}{\frac{12+7}{3}-3}$$

Add 12 and 7 to get 19.

$$150+\frac{1}{\frac{19}{3}-3}$$

Convert 3 to fraction \frac{9}{3}.

$$150+\frac{1}{\frac{19}{3}-\frac{9}{3}}$$

Since \frac{19}{3} and \frac{9}{3} have the same denominator, subtract them by subtracting their numerators.

$$150+\frac{1}{\frac{19-9}{3}}$$

Subtract 9 from 19 to get 10.

$$150+\frac{1}{\frac{10}{3}}$$

Divide 1 by \frac{10}{3} by multiplying 1 by the reciprocal of \frac{10}{3}.

$$150+1\times \frac{3}{10}$$

Multiply 1 and \frac{3}{10} to get \frac{3}{10}.

$$150+\frac{3}{10}$$

Convert 150 to fraction \frac{1500}{10}.

$$\frac{1500}{10}+\frac{3}{10}$$

Since \frac{1500}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$\frac{1500+3}{10}$$

Add 1500 and 3 to get 1503.

$$\frac{1503}{10}$$

Factor

$$\frac{3 ^ {2} \cdot 167}{2 \cdot 5} = 150\frac{3}{10} = 150.3$$