Solve 7+3-4*3div27+46

$$7+3-4 \times 3 \div 27+46$$

Evaluate

$$\frac{500}{9}\approx 55.555555556$$

Solution Steps

Add 7 and 3 to get 10.

$$10-\frac{4\times 3}{27}+46$$

Multiply 4 and 3 to get 12.

$$10-\frac{12}{27}+46$$

Reduce the fraction \frac{12}{27} to lowest terms by extracting and canceling out 3.

$$10-\frac{4}{9}+46$$

Convert 10 to fraction \frac{90}{9}.

$$\frac{90}{9}-\frac{4}{9}+46$$

Since \frac{90}{9} and \frac{4}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{90-4}{9}+46$$

Subtract 4 from 90 to get 86.

$$\frac{86}{9}+46$$

Convert 46 to fraction \frac{414}{9}.

$$\frac{86}{9}+\frac{414}{9}$$

Since \frac{86}{9} and \frac{414}{9} have the same denominator, add them by adding their numerators.

$$\frac{86+414}{9}$$

Add 86 and 414 to get 500.

$$\frac{500}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {3}}{3 ^ {2}} = 55\frac{5}{9} = 55.55555555555556$$