Solve (4)*4/5+[8.8+0.025*(23/4-1.15)]

$$( 4 ) \cdot \frac { 4 } { 5 } + [ 8.8 + 0.025 \times ( 2 \frac { 3 } { 4 } - 1.15 ) ]$$

Evaluate

$$12.04$$

Solution Steps

Express 4\times \frac{4}{5} as a single fraction.

$$\frac{4\times 4}{5}+8.8+0.025\left(\frac{2\times 4+3}{4}-1.15\right)$$

Multiply 4 and 4 to get 16.

$$\frac{16}{5}+8.8+0.025\left(\frac{2\times 4+3}{4}-1.15\right)$$

Convert decimal number 8.8 to fraction \frac{88}{10}. Reduce the fraction \frac{88}{10} to lowest terms by extracting and canceling out 2.

$$\frac{16}{5}+\frac{44}{5}+0.025\left(\frac{2\times 4+3}{4}-1.15\right)$$

Since \frac{16}{5} and \frac{44}{5} have the same denominator, add them by adding their numerators.

$$\frac{16+44}{5}+0.025\left(\frac{2\times 4+3}{4}-1.15\right)$$

Add 16 and 44 to get 60.

$$\frac{60}{5}+0.025\left(\frac{2\times 4+3}{4}-1.15\right)$$

Divide 60 by 5 to get 12.

$$12+0.025\left(\frac{2\times 4+3}{4}-1.15\right)$$

Multiply 2 and 4 to get 8.

$$12+0.025\left(\frac{8+3}{4}-1.15\right)$$

Add 8 and 3 to get 11.

$$12+0.025\left(\frac{11}{4}-1.15\right)$$

Convert decimal number 1.15 to fraction \frac{115}{100}. Reduce the fraction \frac{115}{100} to lowest terms by extracting and canceling out 5.

$$12+0.025\left(\frac{11}{4}-\frac{23}{20}\right)$$

Least common multiple of 4 and 20 is 20. Convert \frac{11}{4} and \frac{23}{20} to fractions with denominator 20.

$$12+0.025\left(\frac{55}{20}-\frac{23}{20}\right)$$

Since \frac{55}{20} and \frac{23}{20} have the same denominator, subtract them by subtracting their numerators.

$$12+0.025\times \frac{55-23}{20}$$

Subtract 23 from 55 to get 32.

$$12+0.025\times \frac{32}{20}$$

Reduce the fraction \frac{32}{20} to lowest terms by extracting and canceling out 4.

$$12+0.025\times \frac{8}{5}$$

Convert decimal number 0.025 to fraction \frac{25}{1000}. Reduce the fraction \frac{25}{1000} to lowest terms by extracting and canceling out 25.

$$12+\frac{1}{40}\times \frac{8}{5}$$

Multiply \frac{1}{40} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$12+\frac{1\times 8}{40\times 5}$$

Do the multiplications in the fraction \frac{1\times 8}{40\times 5}.

$$12+\frac{8}{200}$$

Reduce the fraction \frac{8}{200} to lowest terms by extracting and canceling out 8.

$$12+\frac{1}{25}$$

Convert 12 to fraction \frac{300}{25}.

$$\frac{300}{25}+\frac{1}{25}$$

Since \frac{300}{25} and \frac{1}{25} have the same denominator, add them by adding their numerators.

$$\frac{300+1}{25}$$

Add 300 and 1 to get 301.

$$\frac{301}{25}$$

Factor

$$\frac{7 \cdot 43}{5 ^ {2}} = 12\frac{1}{25} = 12.04$$