Solve 42div758+4.58*11/3-1+4

$$42 \div 758 + 4.58 \times 1 \frac { 1 } { 3 } - 1 + 4$$

Evaluate

$$\frac{260432}{28425}\approx 9.162075638$$

Solution Steps

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

$$\frac{21}{379}+4.58\times \frac{1\times 3+1}{3}-1+4$$

Multiply 1 and 3 to get 3.

$$\frac{21}{379}+4.58\times \frac{3+1}{3}-1+4$$

Add 3 and 1 to get 4.

$$\frac{21}{379}+4.58\times \frac{4}{3}-1+4$$

Convert decimal number 4.58 to fraction \frac{458}{100}. Reduce the fraction \frac{458}{100} to lowest terms by extracting and canceling out 2.

$$\frac{21}{379}+\frac{229}{50}\times \frac{4}{3}-1+4$$

Multiply \frac{229}{50} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21}{379}+\frac{229\times 4}{50\times 3}-1+4$$

Do the multiplications in the fraction \frac{229\times 4}{50\times 3}.

$$\frac{21}{379}+\frac{916}{150}-1+4$$

Reduce the fraction \frac{916}{150} to lowest terms by extracting and canceling out 2.

$$\frac{21}{379}+\frac{458}{75}-1+4$$

Least common multiple of 379 and 75 is 28425. Convert \frac{21}{379} and \frac{458}{75} to fractions with denominator 28425.

$$\frac{1575}{28425}+\frac{173582}{28425}-1+4$$

Since \frac{1575}{28425} and \frac{173582}{28425} have the same denominator, add them by adding their numerators.

$$\frac{1575+173582}{28425}-1+4$$

Add 1575 and 173582 to get 175157.

$$\frac{175157}{28425}-1+4$$

Convert 1 to fraction \frac{28425}{28425}.

$$\frac{175157}{28425}-\frac{28425}{28425}+4$$

Since \frac{175157}{28425} and \frac{28425}{28425} have the same denominator, subtract them by subtracting their numerators.

$$\frac{175157-28425}{28425}+4$$

Subtract 28425 from 175157 to get 146732.

$$\frac{146732}{28425}+4$$

Convert 4 to fraction \frac{113700}{28425}.

$$\frac{146732}{28425}+\frac{113700}{28425}$$

Since \frac{146732}{28425} and \frac{113700}{28425} have the same denominator, add them by adding their numerators.

$$\frac{146732+113700}{28425}$$

Add 146732 and 113700 to get 260432.

$$\frac{260432}{28425}$$

Factor

$$\frac{41 \cdot 397 \cdot 2 ^ {4}}{3 \cdot 379 \cdot 5 ^ {2}} = 9\frac{4607}{28425} = 9.16207563764292$$