Solve (46+8/12)*(43+5/12)

$$(46+ \frac{ 8 }{ 12 } ) \times (43+ \frac{ 5 }{ 12 } )$$

Evaluate

$$\frac{18235}{9}\approx 2026.111111111$$

Solution Steps

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\left(46+\frac{2}{3}\right)\left(43+\frac{5}{12}\right)$$

Convert 46 to fraction \frac{138}{3}.

$$\left(\frac{138}{3}+\frac{2}{3}\right)\left(43+\frac{5}{12}\right)$$

Since \frac{138}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\frac{138+2}{3}\left(43+\frac{5}{12}\right)$$

Add 138 and 2 to get 140.

$$\frac{140}{3}\left(43+\frac{5}{12}\right)$$

Convert 43 to fraction \frac{516}{12}.

$$\frac{140}{3}\left(\frac{516}{12}+\frac{5}{12}\right)$$

Since \frac{516}{12} and \frac{5}{12} have the same denominator, add them by adding their numerators.

$$\frac{140}{3}\times \frac{516+5}{12}$$

Add 516 and 5 to get 521.

$$\frac{140}{3}\times \frac{521}{12}$$

Multiply \frac{140}{3} times \frac{521}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{140\times 521}{3\times 12}$$

Do the multiplications in the fraction \frac{140\times 521}{3\times 12}.

$$\frac{72940}{36}$$

Reduce the fraction \frac{72940}{36} to lowest terms by extracting and canceling out 4.

$$\frac{18235}{9}$$

Factor

$$\frac{5 \cdot 7 \cdot 521}{3 ^ {2}} = 2026\frac{1}{9} = 2026.111111111111$$