Solve 47+45/2-7/12

$$47+ \frac{ \frac{ 45 }{ 2 } -7 }{ 12 }$$

Evaluate

$$\frac{1159}{24}\approx 48.291666667$$

Solution Steps

Convert 7 to fraction \frac{14}{2}.

$$47+\frac{\frac{45}{2}-\frac{14}{2}}{12}$$

Since \frac{45}{2} and \frac{14}{2} have the same denominator, subtract them by subtracting their numerators.

$$47+\frac{\frac{45-14}{2}}{12}$$

Subtract 14 from 45 to get 31.

$$47+\frac{\frac{31}{2}}{12}$$

Express \frac{\frac{31}{2}}{12} as a single fraction.

$$47+\frac{31}{2\times 12}$$

Multiply 2 and 12 to get 24.

$$47+\frac{31}{24}$$

Convert 47 to fraction \frac{1128}{24}.

$$\frac{1128}{24}+\frac{31}{24}$$

Since \frac{1128}{24} and \frac{31}{24} have the same denominator, add them by adding their numerators.

$$\frac{1128+31}{24}$$

Add 1128 and 31 to get 1159.

$$\frac{1159}{24}$$

Factor

$$\frac{19 \cdot 61}{2 ^ {3} \cdot 3} = 48\frac{7}{24} = 48.291666666666664$$