Solve (0,15-0,07)*10/810*9,8+17+4,6

$$\frac { ( 0,15 - 0,07 ) \cdot 10 } { 810 \cdot 9,8 } + 17 + 4,6$$

Evaluate

$$\frac{428654}{19845}\approx 21,600100781$$

Solution Steps

Cancel out 10 in both numerator and denominator.

$$\frac{0,15-0,07}{9,8\times 81}+17+4,6$$

Subtract 0,07 from 0,15 to get 0,08.

$$\frac{0,08}{9,8\times 81}+17+4,6$$

Multiply 9,8 and 81 to get 793,8.

$$\frac{0,08}{793,8}+17+4,6$$

Expand \frac{0,08}{793,8} by multiplying both numerator and the denominator by 100.

$$\frac{8}{79380}+17+4,6$$

Reduce the fraction \frac{8}{79380} to lowest terms by extracting and canceling out 4.

$$\frac{2}{19845}+17+4,6$$

Convert 17 to fraction \frac{337365}{19845}.

$$\frac{2}{19845}+\frac{337365}{19845}+4,6$$

Since \frac{2}{19845} and \frac{337365}{19845} have the same denominator, add them by adding their numerators.

$$\frac{2+337365}{19845}+4,6$$

Add 2 and 337365 to get 337367.

$$\frac{337367}{19845}+4,6$$

Convert decimal number 4,6 to fraction \frac{46}{10}. Reduce the fraction \frac{46}{10} to lowest terms by extracting and canceling out 2.

$$\frac{337367}{19845}+\frac{23}{5}$$

Least common multiple of 19845 and 5 is 19845. Convert \frac{337367}{19845} and \frac{23}{5} to fractions with denominator 19845.

$$\frac{337367}{19845}+\frac{91287}{19845}$$

Since \frac{337367}{19845} and \frac{91287}{19845} have the same denominator, add them by adding their numerators.

$$\frac{337367+91287}{19845}$$

Add 337367 and 91287 to get 428654.

$$\frac{428654}{19845}$$

Factor

$$\frac{2 \cdot 79 \cdot 2713}{5 \cdot 3 ^ {4} \cdot 7 ^ {2}} = 21\frac{11909}{19845} = 21.60010078105316$$