Solve 21/6*41/2=

$$2 \frac { 1 } { 6 } \times 4 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{39}{4}=9.75$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{12+1}{6}\times \frac{4\times 2+1}{2}$$

Add 12 and 1 to get 13.

$$\frac{13}{6}\times \frac{4\times 2+1}{2}$$

Multiply 4 and 2 to get 8.

$$\frac{13}{6}\times \frac{8+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{13}{6}\times \frac{9}{2}$$

Multiply \frac{13}{6} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 9}{6\times 2}$$

Do the multiplications in the fraction \frac{13\times 9}{6\times 2}.

$$\frac{117}{12}$$

Reduce the fraction \frac{117}{12} to lowest terms by extracting and canceling out 3.

$$\frac{39}{4}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {2}} = 9\frac{3}{4} = 9.75$$