Solve 61/4*23/10

$$6 \frac { 1 } { 4 } \times 2 \frac { 3 } { 10 }$$

Evaluate

$$\frac{115}{8}=14.375$$

Solution Steps

Multiply 6 and 4 to get 24.

$$\frac{24+1}{4}\times \frac{2\times 10+3}{10}$$

Add 24 and 1 to get 25.

$$\frac{25}{4}\times \frac{2\times 10+3}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{25}{4}\times \frac{20+3}{10}$$

Add 20 and 3 to get 23.

$$\frac{25}{4}\times \frac{23}{10}$$

Multiply \frac{25}{4} times \frac{23}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 23}{4\times 10}$$

Do the multiplications in the fraction \frac{25\times 23}{4\times 10}.

$$\frac{575}{40}$$

Reduce the fraction \frac{575}{40} to lowest terms by extracting and canceling out 5.

$$\frac{115}{8}$$

Factor

$$\frac{5 \cdot 23}{2 ^ {3}} = 14\frac{3}{8} = 14.375$$