Solve 7div4-6*2+3-7div410+9999*2div8+3-58

$$7 \div 4-6 \times 2+3-7 \div 410+9999 \times 2 \div 8+3-58$$

Evaluate

$$\frac{499684}{205}\approx 2437.482926829$$

Solution Steps

Multiply 6 and 2 to get 12.

$$\frac{7}{4}-12+3-\frac{7}{410}+\frac{9999\times 2}{8}+3-58$$

Convert 12 to fraction \frac{48}{4}.

$$\frac{7}{4}-\frac{48}{4}+3-\frac{7}{410}+\frac{9999\times 2}{8}+3-58$$

Since \frac{7}{4} and \frac{48}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-48}{4}+3-\frac{7}{410}+\frac{9999\times 2}{8}+3-58$$

Subtract 48 from 7 to get -41.

$$-\frac{41}{4}+3-\frac{7}{410}+\frac{9999\times 2}{8}+3-58$$

Convert 3 to fraction \frac{12}{4}.

$$-\frac{41}{4}+\frac{12}{4}-\frac{7}{410}+\frac{9999\times 2}{8}+3-58$$

Since -\frac{41}{4} and \frac{12}{4} have the same denominator, add them by adding their numerators.

$$\frac{-41+12}{4}-\frac{7}{410}+\frac{9999\times 2}{8}+3-58$$

Add -41 and 12 to get -29.

$$-\frac{29}{4}-\frac{7}{410}+\frac{9999\times 2}{8}+3-58$$

Least common multiple of 4 and 410 is 820. Convert -\frac{29}{4} and \frac{7}{410} to fractions with denominator 820.

$$-\frac{5945}{820}-\frac{14}{820}+\frac{9999\times 2}{8}+3-58$$

Since -\frac{5945}{820} and \frac{14}{820} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5945-14}{820}+\frac{9999\times 2}{8}+3-58$$

Subtract 14 from -5945 to get -5959.

$$-\frac{5959}{820}+\frac{9999\times 2}{8}+3-58$$

Multiply 9999 and 2 to get 19998.

$$-\frac{5959}{820}+\frac{19998}{8}+3-58$$

Reduce the fraction \frac{19998}{8} to lowest terms by extracting and canceling out 2.

$$-\frac{5959}{820}+\frac{9999}{4}+3-58$$

Least common multiple of 820 and 4 is 820. Convert -\frac{5959}{820} and \frac{9999}{4} to fractions with denominator 820.

$$-\frac{5959}{820}+\frac{2049795}{820}+3-58$$

Since -\frac{5959}{820} and \frac{2049795}{820} have the same denominator, add them by adding their numerators.

$$\frac{-5959+2049795}{820}+3-58$$

Add -5959 and 2049795 to get 2043836.

$$\frac{2043836}{820}+3-58$$

Reduce the fraction \frac{2043836}{820} to lowest terms by extracting and canceling out 4.

$$\frac{510959}{205}+3-58$$

Convert 3 to fraction \frac{615}{205}.

$$\frac{510959}{205}+\frac{615}{205}-58$$

Since \frac{510959}{205} and \frac{615}{205} have the same denominator, add them by adding their numerators.

$$\frac{510959+615}{205}-58$$

Add 510959 and 615 to get 511574.

$$\frac{511574}{205}-58$$

Convert 58 to fraction \frac{11890}{205}.

$$\frac{511574}{205}-\frac{11890}{205}$$

Since \frac{511574}{205} and \frac{11890}{205} have the same denominator, subtract them by subtracting their numerators.

$$\frac{511574-11890}{205}$$

Subtract 11890 from 511574 to get 499684.

$$\frac{499684}{205}$$

Factor

$$\frac{2 ^ {2} \cdot 53 \cdot 2357}{5 \cdot 41} = 2437\frac{99}{205} = 2437.4829268292683$$