Solve 4.6*1.25+11/4*4.3-0.9*125%-1

$$4.6 \times 1.25 + 1 \frac { 1 } { 4 } \times 4.3 - 0.9 \times 125 \% - 1$$

Evaluate

$$9$$

Solution Steps

Multiply 4.6 and 1.25 to get 5.75.

$$5.75+\frac{1\times 4+1}{4}\times 4.3-0.9\times \frac{125}{100}-1$$

Multiply 1 and 4 to get 4.

$$5.75+\frac{4+1}{4}\times 4.3-0.9\times \frac{125}{100}-1$$

Add 4 and 1 to get 5.

$$5.75+\frac{5}{4}\times 4.3-0.9\times \frac{125}{100}-1$$

Convert decimal number 4.3 to fraction \frac{43}{10}.

$$5.75+\frac{5}{4}\times \frac{43}{10}-0.9\times \frac{125}{100}-1$$

Multiply \frac{5}{4} times \frac{43}{10} by multiplying numerator times numerator and denominator times denominator.

$$5.75+\frac{5\times 43}{4\times 10}-0.9\times \frac{125}{100}-1$$

Do the multiplications in the fraction \frac{5\times 43}{4\times 10}.

$$5.75+\frac{215}{40}-0.9\times \frac{125}{100}-1$$

Reduce the fraction \frac{215}{40} to lowest terms by extracting and canceling out 5.

$$5.75+\frac{43}{8}-0.9\times \frac{125}{100}-1$$

Convert decimal number 5.75 to fraction \frac{575}{100}. Reduce the fraction \frac{575}{100} to lowest terms by extracting and canceling out 25.

$$\frac{23}{4}+\frac{43}{8}-0.9\times \frac{125}{100}-1$$

Least common multiple of 4 and 8 is 8. Convert \frac{23}{4} and \frac{43}{8} to fractions with denominator 8.

$$\frac{46}{8}+\frac{43}{8}-0.9\times \frac{125}{100}-1$$

Since \frac{46}{8} and \frac{43}{8} have the same denominator, add them by adding their numerators.

$$\frac{46+43}{8}-0.9\times \frac{125}{100}-1$$

Add 46 and 43 to get 89.

$$\frac{89}{8}-0.9\times \frac{125}{100}-1$$

Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{89}{8}-0.9\times \frac{5}{4}-1$$

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

$$\frac{89}{8}-\frac{9}{10}\times \frac{5}{4}-1$$

Multiply \frac{9}{10} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{89}{8}-\frac{9\times 5}{10\times 4}-1$$

Do the multiplications in the fraction \frac{9\times 5}{10\times 4}.

$$\frac{89}{8}-\frac{45}{40}-1$$

Reduce the fraction \frac{45}{40} to lowest terms by extracting and canceling out 5.

$$\frac{89}{8}-\frac{9}{8}-1$$

Since \frac{89}{8} and \frac{9}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{89-9}{8}-1$$

Subtract 9 from 89 to get 80.

$$\frac{80}{8}-1$$

Divide 80 by 8 to get 10.

$$10-1$$

Subtract 1 from 10 to get 9.

$$9$$

Factor

$$3^{2}$$