Solve (61/4)*(23/10*4/5)

$$(6 \frac{ 1 }{ 4 } ) \times (2 \frac{ 3 }{ 10 } \times \frac{ 4 }{ 5 } )$$

Evaluate

$$\frac{23}{2}=11.5$$

Solution Steps

Multiply 6 and 4 to get 24.

$$\frac{24+1}{4}\times \frac{2\times 10+3}{10}\times \frac{4}{5}$$

Add 24 and 1 to get 25.

$$\frac{25}{4}\times \frac{2\times 10+3}{10}\times \frac{4}{5}$$

Multiply 2 and 10 to get 20.

$$\frac{25}{4}\times \frac{20+3}{10}\times \frac{4}{5}$$

Add 20 and 3 to get 23.

$$\frac{25}{4}\times \frac{23}{10}\times \frac{4}{5}$$

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

$$\frac{25\times 23}{4\times 10}\times \frac{4}{5}$$

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

$$\frac{575}{40}\times \frac{4}{5}$$

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

$$\frac{115}{8}\times \frac{4}{5}$$

Multiply \frac{115}{8} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{115\times 4}{8\times 5}$$

Do the multiplications in the fraction \frac{115\times 4}{8\times 5}.

$$\frac{460}{40}$$

Reduce the fraction \frac{460}{40} to lowest terms by extracting and canceling out 20.

$$\frac{23}{2}$$

Factor

$$\frac{23}{2} = 11\frac{1}{2} = 11.5$$