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

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

Evaluate

$$\frac{302}{7}\approx 43.142857143$$

Solution Steps

Divide 3 by 3 to get 1.

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

Add 150 and 1 to get 151.

$$\frac{151}{4+\frac{1}{1-3}}$$

Subtract 3 from 1 to get -2.

$$\frac{151}{4+\frac{1}{-2}}$$

Fraction \frac{1}{-2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$\frac{151}{4-\frac{1}{2}}$$

Convert 4 to fraction \frac{8}{2}.

$$\frac{151}{\frac{8}{2}-\frac{1}{2}}$$

Since \frac{8}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{151}{\frac{8-1}{2}}$$

Subtract 1 from 8 to get 7.

$$\frac{151}{\frac{7}{2}}$$

Divide 151 by \frac{7}{2} by multiplying 151 by the reciprocal of \frac{7}{2}.

$$151\times \frac{2}{7}$$

Express 151\times \frac{2}{7} as a single fraction.

$$\frac{151\times 2}{7}$$

Multiply 151 and 2 to get 302.

$$\frac{302}{7}$$

Factor

$$\frac{2 \cdot 151}{7} = 43\frac{1}{7} = 43.142857142857146$$