Solve 2000+2000div48/48

$$\frac { 2000 + 2000 \div 48 } { 48 }$$

Evaluate

$$\frac{6125}{144}\approx 42.534722222$$

Solution Steps

Reduce the fraction \frac{2000}{48} to lowest terms by extracting and canceling out 16.

$$\frac{2000+\frac{125}{3}}{48}$$

Convert 2000 to fraction \frac{6000}{3}.

$$\frac{\frac{6000}{3}+\frac{125}{3}}{48}$$

Since \frac{6000}{3} and \frac{125}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{6000+125}{3}}{48}$$

Add 6000 and 125 to get 6125.

$$\frac{\frac{6125}{3}}{48}$$

Express \frac{\frac{6125}{3}}{48} as a single fraction.

$$\frac{6125}{3\times 48}$$

Multiply 3 and 48 to get 144.

$$\frac{6125}{144}$$

Factor

$$\frac{5 ^ {3} \cdot 7 ^ {2}}{2 ^ {4} \cdot 3 ^ {2}} = 42\frac{77}{144} = 42.53472222222222$$