Solve 26+1/29+8+3/100+200

$$\frac { \frac { 26 + 1 } { 29 + 8 } + 3 } { 100 + 200 }$$

Evaluate

$$\frac{23}{1850}\approx 0.012432432$$

Solution Steps

Add 26 and 1 to get 27.

$$\frac{\frac{27}{29+8}+3}{100+200}$$

Add 29 and 8 to get 37.

$$\frac{\frac{27}{37}+3}{100+200}$$

Convert 3 to fraction \frac{111}{37}.

$$\frac{\frac{27}{37}+\frac{111}{37}}{100+200}$$

Since \frac{27}{37} and \frac{111}{37} have the same denominator, add them by adding their numerators.

$$\frac{\frac{27+111}{37}}{100+200}$$

Add 27 and 111 to get 138.

$$\frac{\frac{138}{37}}{100+200}$$

Add 100 and 200 to get 300.

$$\frac{\frac{138}{37}}{300}$$

Express \frac{\frac{138}{37}}{300} as a single fraction.

$$\frac{138}{37\times 300}$$

Multiply 37 and 300 to get 11100.

$$\frac{138}{11100}$$

Reduce the fraction \frac{138}{11100} to lowest terms by extracting and canceling out 6.

$$\frac{23}{1850}$$

Factor

$$\frac{23}{2 \cdot 5 ^ {2} \cdot 37} = 0.012432432432432432$$