Solve (8.3-0.05)-(4.25-3.15)/0.04div0.4+0.006div0.6+7.04

$$\frac { ( 8.3 - 0.05 ) - ( 4.25 - 3.15 ) } { 0.04 \div 0.4 + 0.006 \div 0.6 + 7.04 }$$

Evaluate

$$1$$

Solution Steps

Subtract 0.05 from 8.3 to get 8.25.

$$\frac{8.25-\left(4.25-3.15\right)}{\frac{0.04}{0.4}+\frac{0.006}{0.6}+7.04}$$

Subtract 3.15 from 4.25 to get 1.1.

$$\frac{8.25-1.1}{\frac{0.04}{0.4}+\frac{0.006}{0.6}+7.04}$$

Subtract 1.1 from 8.25 to get 7.15.

$$\frac{7.15}{\frac{0.04}{0.4}+\frac{0.006}{0.6}+7.04}$$

Expand \frac{0.04}{0.4} by multiplying both numerator and the denominator by 100.

$$\frac{7.15}{\frac{4}{40}+\frac{0.006}{0.6}+7.04}$$

Reduce the fraction \frac{4}{40} to lowest terms by extracting and canceling out 4.

$$\frac{7.15}{\frac{1}{10}+\frac{0.006}{0.6}+7.04}$$

Expand \frac{0.006}{0.6} by multiplying both numerator and the denominator by 1000.

$$\frac{7.15}{\frac{1}{10}+\frac{6}{600}+7.04}$$

Reduce the fraction \frac{6}{600} to lowest terms by extracting and canceling out 6.

$$\frac{7.15}{\frac{1}{10}+\frac{1}{100}+7.04}$$

Least common multiple of 10 and 100 is 100. Convert \frac{1}{10} and \frac{1}{100} to fractions with denominator 100.

$$\frac{7.15}{\frac{10}{100}+\frac{1}{100}+7.04}$$

Since \frac{10}{100} and \frac{1}{100} have the same denominator, add them by adding their numerators.

$$\frac{7.15}{\frac{10+1}{100}+7.04}$$

Add 10 and 1 to get 11.

$$\frac{7.15}{\frac{11}{100}+7.04}$$

Convert decimal number 7.04 to fraction \frac{704}{100}. Reduce the fraction \frac{704}{100} to lowest terms by extracting and canceling out 4.

$$\frac{7.15}{\frac{11}{100}+\frac{176}{25}}$$

Least common multiple of 100 and 25 is 100. Convert \frac{11}{100} and \frac{176}{25} to fractions with denominator 100.

$$\frac{7.15}{\frac{11}{100}+\frac{704}{100}}$$

Since \frac{11}{100} and \frac{704}{100} have the same denominator, add them by adding their numerators.

$$\frac{7.15}{\frac{11+704}{100}}$$

Add 11 and 704 to get 715.

$$\frac{7.15}{\frac{715}{100}}$$

Reduce the fraction \frac{715}{100} to lowest terms by extracting and canceling out 5.

$$\frac{7.15}{\frac{143}{20}}$$

Divide 7.15 by \frac{143}{20} to get 1.

$$1$$

Factor

$$1$$