Solve 142/3*155/2=

$$14 \frac { 2 } { 3 } \times 15 \frac { 5 } { 2 } =$$

Evaluate

$$\frac{770}{3}\approx 256.666666667$$

Solution Steps

Multiply 14 and 3 to get 42.

$$\frac{42+2}{3}\times \frac{15\times 2+5}{2}$$

Add 42 and 2 to get 44.

$$\frac{44}{3}\times \frac{15\times 2+5}{2}$$

Multiply 15 and 2 to get 30.

$$\frac{44}{3}\times \frac{30+5}{2}$$

Add 30 and 5 to get 35.

$$\frac{44}{3}\times \frac{35}{2}$$

Multiply \frac{44}{3} times \frac{35}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{44\times 35}{3\times 2}$$

Do the multiplications in the fraction \frac{44\times 35}{3\times 2}.

$$\frac{1540}{6}$$

Reduce the fraction \frac{1540}{6} to lowest terms by extracting and canceling out 2.

$$\frac{770}{3}$$

Factor

$$\frac{2 \cdot 5 \cdot 7 \cdot 11}{3} = 256\frac{2}{3} = 256.6666666666667$$