Solve 45/16*7/15*2/3

$$4 \frac { 5 } { 16 } \times \frac { 7 } { 15 } \times \frac { 2 } { 3 }$$

Evaluate

$$\frac{161}{120}\approx 1.341666667$$

Solution Steps

Multiply 4 and 16 to get 64.

$$\frac{64+5}{16}\times \frac{7}{15}\times \frac{2}{3}$$

Add 64 and 5 to get 69.

$$\frac{69}{16}\times \frac{7}{15}\times \frac{2}{3}$$

Multiply \frac{69}{16} times \frac{7}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{69\times 7}{16\times 15}\times \frac{2}{3}$$

Do the multiplications in the fraction \frac{69\times 7}{16\times 15}.

$$\frac{483}{240}\times \frac{2}{3}$$

Reduce the fraction \frac{483}{240} to lowest terms by extracting and canceling out 3.

$$\frac{161}{80}\times \frac{2}{3}$$

Multiply \frac{161}{80} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{161\times 2}{80\times 3}$$

Do the multiplications in the fraction \frac{161\times 2}{80\times 3}.

$$\frac{322}{240}$$

Reduce the fraction \frac{322}{240} to lowest terms by extracting and canceling out 2.

$$\frac{161}{120}$$

Factor

$$\frac{7 \cdot 23}{2 ^ {3} \cdot 3 \cdot 5} = 1\frac{41}{120} = 1.3416666666666666$$