Solve 3/4+125div11/2

$$\frac { 3 } { 4 } + 125 \div 1 \frac { 1 } { 2 }$$

Evaluate

$$\frac{1009}{12}\approx 84.083333333$$

Solution Steps

Divide 125 by \frac{1\times 2+1}{2} by multiplying 125 by the reciprocal of \frac{1\times 2+1}{2}.

$$\frac{3}{4}+\frac{125\times 2}{1\times 2+1}$$

Multiply 125 and 2 to get 250.

$$\frac{3}{4}+\frac{250}{1\times 2+1}$$

Multiply 1 and 2 to get 2.

$$\frac{3}{4}+\frac{250}{2+1}$$

Add 2 and 1 to get 3.

$$\frac{3}{4}+\frac{250}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{250}{3} to fractions with denominator 12.

$$\frac{9}{12}+\frac{1000}{12}$$

Since \frac{9}{12} and \frac{1000}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+1000}{12}$$

Add 9 and 1000 to get 1009.

$$\frac{1009}{12}$$

Factor

$$\frac{1009}{2 ^ {2} \cdot 3} = 84\frac{1}{12} = 84.08333333333333$$