Solve 42div758+458*11/3-1+4

$$42 \div 758 + 458 \times 1 \frac { 1 } { 3 } - 1 + 4$$

Evaluate

$$\frac{697802}{1137}\approx 613.722075638$$

Solution Steps

Reduce the fraction \frac{42}{758} to lowest terms by extracting and canceling out 2.

$$\frac{21}{379}+458\times \frac{1\times 3+1}{3}-1+4$$

Multiply 1 and 3 to get 3.

$$\frac{21}{379}+458\times \frac{3+1}{3}-1+4$$

Add 3 and 1 to get 4.

$$\frac{21}{379}+458\times \frac{4}{3}-1+4$$

Express 458\times \frac{4}{3} as a single fraction.

$$\frac{21}{379}+\frac{458\times 4}{3}-1+4$$

Multiply 458 and 4 to get 1832.

$$\frac{21}{379}+\frac{1832}{3}-1+4$$

Least common multiple of 379 and 3 is 1137. Convert \frac{21}{379} and \frac{1832}{3} to fractions with denominator 1137.

$$\frac{63}{1137}+\frac{694328}{1137}-1+4$$

Since \frac{63}{1137} and \frac{694328}{1137} have the same denominator, add them by adding their numerators.

$$\frac{63+694328}{1137}-1+4$$

Add 63 and 694328 to get 694391.

$$\frac{694391}{1137}-1+4$$

Convert 1 to fraction \frac{1137}{1137}.

$$\frac{694391}{1137}-\frac{1137}{1137}+4$$

Since \frac{694391}{1137} and \frac{1137}{1137} have the same denominator, subtract them by subtracting their numerators.

$$\frac{694391-1137}{1137}+4$$

Subtract 1137 from 694391 to get 693254.

$$\frac{693254}{1137}+4$$

Convert 4 to fraction \frac{4548}{1137}.

$$\frac{693254}{1137}+\frac{4548}{1137}$$

Since \frac{693254}{1137} and \frac{4548}{1137} have the same denominator, add them by adding their numerators.

$$\frac{693254+4548}{1137}$$

Add 693254 and 4548 to get 697802.

$$\frac{697802}{1137}$$

Factor

$$\frac{2 \cdot 7 \cdot 49843}{3 \cdot 379} = 613\frac{821}{1137} = 613.7220756376429$$