Solve (39+8/13)*(40+9/13)=

$$(39+ \frac{ 8 }{ 13 } ) \times (40+ \frac{ 9 }{ 13 } )=$$

Evaluate

$$\frac{272435}{169}\approx 1612.041420118$$

Solution Steps

Convert 39 to fraction \frac{507}{13}.

$$\left(\frac{507}{13}+\frac{8}{13}\right)\left(40+\frac{9}{13}\right)$$

Since \frac{507}{13} and \frac{8}{13} have the same denominator, add them by adding their numerators.

$$\frac{507+8}{13}\left(40+\frac{9}{13}\right)$$

Add 507 and 8 to get 515.

$$\frac{515}{13}\left(40+\frac{9}{13}\right)$$

Convert 40 to fraction \frac{520}{13}.

$$\frac{515}{13}\left(\frac{520}{13}+\frac{9}{13}\right)$$

Since \frac{520}{13} and \frac{9}{13} have the same denominator, add them by adding their numerators.

$$\frac{515}{13}\times \frac{520+9}{13}$$

Add 520 and 9 to get 529.

$$\frac{515}{13}\times \frac{529}{13}$$

Multiply \frac{515}{13} times \frac{529}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{515\times 529}{13\times 13}$$

Do the multiplications in the fraction \frac{515\times 529}{13\times 13}.

$$\frac{272435}{169}$$

Factor

$$\frac{5 \cdot 23 ^ {2} \cdot 103}{13 ^ {2}} = 1612\frac{7}{169} = 1612.0414201183432$$