Solve (2345-1572):23+(34.5+4749):82=

$$( 2345 - 1572 ) : 23 + ( 34.5 + 4749 ) : 82 =$$

Evaluate

$$\frac{346813}{3772}\approx 91.944061506$$

Solution Steps

Subtract 1572 from 2345 to get 773.

$$\frac{773}{23}+\frac{34.5+4749}{82}$$

Add 34.5 and 4749 to get 4783.5.

$$\frac{773}{23}+\frac{4783.5}{82}$$

Expand \frac{4783.5}{82} by multiplying both numerator and the denominator by 10.

$$\frac{773}{23}+\frac{47835}{820}$$

Reduce the fraction \frac{47835}{820} to lowest terms by extracting and canceling out 5.

$$\frac{773}{23}+\frac{9567}{164}$$

Least common multiple of 23 and 164 is 3772. Convert \frac{773}{23} and \frac{9567}{164} to fractions with denominator 3772.

$$\frac{126772}{3772}+\frac{220041}{3772}$$

Since \frac{126772}{3772} and \frac{220041}{3772} have the same denominator, add them by adding their numerators.

$$\frac{126772+220041}{3772}$$

Add 126772 and 220041 to get 346813.

$$\frac{346813}{3772}$$

Factor

$$\frac{157 \cdot 47 ^ {2}}{23 \cdot 41 \cdot 2 ^ {2}} = 91\frac{3561}{3772} = 91.94406150583245$$