Solve 31/3*41/4

$$3 \frac { 1 } { 3 } \times 4 \frac { 1 } { 4 }$$

Evaluate

$$\frac{85}{6}\approx 14.166666667$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3}\times \frac{4\times 4+1}{4}$$

Add 9 and 1 to get 10.

$$\frac{10}{3}\times \frac{4\times 4+1}{4}$$

Multiply 4 and 4 to get 16.

$$\frac{10}{3}\times \frac{16+1}{4}$$

Add 16 and 1 to get 17.

$$\frac{10}{3}\times \frac{17}{4}$$

Multiply \frac{10}{3} times \frac{17}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 17}{3\times 4}$$

Do the multiplications in the fraction \frac{10\times 17}{3\times 4}.

$$\frac{170}{12}$$

Reduce the fraction \frac{170}{12} to lowest terms by extracting and canceling out 2.

$$\frac{85}{6}$$

Factor

$$\frac{5 \cdot 17}{2 \cdot 3} = 14\frac{1}{6} = 14.166666666666666$$