Solve 0.70.25*4*1000+0.38*3*20+0.37*1*100/1120+0.3*3

$$0.7 \frac{ 0.25 \cdot 4 \cdot 1000+0.38 \cdot 3 \cdot 20+0.37 \cdot 1 \cdot 100 }{ 1120 } +0.3 \cdot 3$$

Evaluate

$$1.562375$$

Solution Steps

Multiply 0.25 and 4 to get 1.

$$0.7\times \frac{1000+0.38\times 3\times 20+0.37\times 1\times 100}{1120}+0.3\times 3$$

Multiply 0.38 and 3 to get 1.14.

$$0.7\times \frac{1000+1.14\times 20+0.37\times 1\times 100}{1120}+0.3\times 3$$

Multiply 1.14 and 20 to get 22.8.

$$0.7\times \frac{1000+22.8+0.37\times 1\times 100}{1120}+0.3\times 3$$

Add 1000 and 22.8 to get 1022.8.

$$0.7\times \frac{1022.8+0.37\times 1\times 100}{1120}+0.3\times 3$$

Multiply 0.37 and 1 to get 0.37.

$$0.7\times \frac{1022.8+0.37\times 100}{1120}+0.3\times 3$$

Multiply 0.37 and 100 to get 37.

$$0.7\times \frac{1022.8+37}{1120}+0.3\times 3$$

Add 1022.8 and 37 to get 1059.8.

$$0.7\times \frac{1059.8}{1120}+0.3\times 3$$

Expand \frac{1059.8}{1120} by multiplying both numerator and the denominator by 10.

$$0.7\times \frac{10598}{11200}+0.3\times 3$$

Reduce the fraction \frac{10598}{11200} to lowest terms by extracting and canceling out 14.

$$0.7\times \frac{757}{800}+0.3\times 3$$

Convert decimal number 0.7 to fraction \frac{7}{10}.

$$\frac{7}{10}\times \frac{757}{800}+0.3\times 3$$

Multiply \frac{7}{10} times \frac{757}{800} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 757}{10\times 800}+0.3\times 3$$

Do the multiplications in the fraction \frac{7\times 757}{10\times 800}.

$$\frac{5299}{8000}+0.3\times 3$$

Multiply 0.3 and 3 to get 0.9.

$$\frac{5299}{8000}+0.9$$

Convert decimal number 0.9 to fraction \frac{9}{10}.

$$\frac{5299}{8000}+\frac{9}{10}$$

Least common multiple of 8000 and 10 is 8000. Convert \frac{5299}{8000} and \frac{9}{10} to fractions with denominator 8000.

$$\frac{5299}{8000}+\frac{7200}{8000}$$

Since \frac{5299}{8000} and \frac{7200}{8000} have the same denominator, add them by adding their numerators.

$$\frac{5299+7200}{8000}$$

Add 5299 and 7200 to get 12499.

$$\frac{12499}{8000}$$

Factor

$$\frac{29 \cdot 431}{2 ^ {6} \cdot 5 ^ {3}} = 1\frac{4499}{8000} = 1.562375$$