Solve (3/4+23/8)*25.6

$$( \frac{ 3 }{ 4 } +2 \frac{ 3 }{ 8 } ) \times 25.6$$

Evaluate

$$80$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\left(\frac{3}{4}+\frac{16+3}{8}\right)\times 25.6$$

Add 16 and 3 to get 19.

$$\left(\frac{3}{4}+\frac{19}{8}\right)\times 25.6$$

Least common multiple of 4 and 8 is 8. Convert \frac{3}{4} and \frac{19}{8} to fractions with denominator 8.

$$\left(\frac{6}{8}+\frac{19}{8}\right)\times 25.6$$

Since \frac{6}{8} and \frac{19}{8} have the same denominator, add them by adding their numerators.

$$\frac{6+19}{8}\times 25.6$$

Add 6 and 19 to get 25.

$$\frac{25}{8}\times 25.6$$

Convert decimal number 25.6 to fraction \frac{256}{10}. Reduce the fraction \frac{256}{10} to lowest terms by extracting and canceling out 2.

$$\frac{25}{8}\times \frac{128}{5}$$

Multiply \frac{25}{8} times \frac{128}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 128}{8\times 5}$$

Do the multiplications in the fraction \frac{25\times 128}{8\times 5}.

$$\frac{3200}{40}$$

Divide 3200 by 40 to get 80.

$$80$$

Factor

$$5\times 2^{4}$$