Solve 72*65div261455+35-132x+6326*sqrt{36}

$$72 \times 65 \div 261455+35-132x+6326 \times \sqrt{ 36 }$$

Evaluate

$$\frac{1986588317}{52291}-132x$$

Solution Steps

Multiply 72 and 65 to get 4680.

$$\frac{4680}{261455}+35-132x+6326\sqrt{36}$$

Reduce the fraction \frac{4680}{261455} to lowest terms by extracting and canceling out 5.

$$\frac{936}{52291}+35-132x+6326\sqrt{36}$$

Convert 35 to fraction \frac{1830185}{52291}.

$$\frac{936}{52291}+\frac{1830185}{52291}-132x+6326\sqrt{36}$$

Since \frac{936}{52291} and \frac{1830185}{52291} have the same denominator, add them by adding their numerators.

$$\frac{936+1830185}{52291}-132x+6326\sqrt{36}$$

Add 936 and 1830185 to get 1831121.

$$\frac{1831121}{52291}-132x+6326\sqrt{36}$$

Calculate the square root of 36 and get 6.

$$\frac{1831121}{52291}-132x+6326\times 6$$

Multiply 6326 and 6 to get 37956.

$$\frac{1831121}{52291}-132x+37956$$

Convert 37956 to fraction \frac{1984757196}{52291}.

$$\frac{1831121}{52291}-132x+\frac{1984757196}{52291}$$

Since \frac{1831121}{52291} and \frac{1984757196}{52291} have the same denominator, add them by adding their numerators.

$$\frac{1831121+1984757196}{52291}-132x$$

Add 1831121 and 1984757196 to get 1986588317.

$$\frac{1986588317}{52291}-132x$$

Factor

$$\frac{1986588317-6902412x}{52291}$$

Solution Steps

Factor out \frac{1}{52291}.

$$\frac{1986588317-6902412x}{52291}$$