Solve 31/2*21/21

$$3 \frac { 1 } { 2 } \times 2 \frac { 1 } { 21 }$$

Evaluate

$$\frac{43}{6}\approx 7.166666667$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}\times \frac{2\times 21+1}{21}$$

Add 6 and 1 to get 7.

$$\frac{7}{2}\times \frac{2\times 21+1}{21}$$

Multiply 2 and 21 to get 42.

$$\frac{7}{2}\times \frac{42+1}{21}$$

Add 42 and 1 to get 43.

$$\frac{7}{2}\times \frac{43}{21}$$

Multiply \frac{7}{2} times \frac{43}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 43}{2\times 21}$$

Do the multiplications in the fraction \frac{7\times 43}{2\times 21}.

$$\frac{301}{42}$$

Reduce the fraction \frac{301}{42} to lowest terms by extracting and canceling out 7.

$$\frac{43}{6}$$

Factor

$$\frac{43}{2 \cdot 3} = 7\frac{1}{6} = 7.166666666666667$$