Solve (61/12-317/36)*2,5-41/3:0,65

$$( 6 \frac { 1 } { 12 } - 3 \frac { 17 } { 36 } ) \cdot 2,5 - 4 \frac { 1 } { 3 } : 0,65$$

Evaluate

$$-\frac{5}{36}\approx -0,138888889$$

Solution Steps

Multiply 6 and 12 to get 72.

$$\left(\frac{72+1}{12}-\frac{3\times 36+17}{36}\right)\times 2,5-\frac{\frac{4\times 3+1}{3}}{0,65}$$

Add 72 and 1 to get 73.

$$\left(\frac{73}{12}-\frac{3\times 36+17}{36}\right)\times 2,5-\frac{\frac{4\times 3+1}{3}}{0,65}$$

Multiply 3 and 36 to get 108.

$$\left(\frac{73}{12}-\frac{108+17}{36}\right)\times 2,5-\frac{\frac{4\times 3+1}{3}}{0,65}$$

Add 108 and 17 to get 125.

$$\left(\frac{73}{12}-\frac{125}{36}\right)\times 2,5-\frac{\frac{4\times 3+1}{3}}{0,65}$$

Least common multiple of 12 and 36 is 36. Convert \frac{73}{12} and \frac{125}{36} to fractions with denominator 36.

$$\left(\frac{219}{36}-\frac{125}{36}\right)\times 2,5-\frac{\frac{4\times 3+1}{3}}{0,65}$$

Since \frac{219}{36} and \frac{125}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{219-125}{36}\times 2,5-\frac{\frac{4\times 3+1}{3}}{0,65}$$

Subtract 125 from 219 to get 94.

$$\frac{94}{36}\times 2,5-\frac{\frac{4\times 3+1}{3}}{0,65}$$

Reduce the fraction \frac{94}{36} to lowest terms by extracting and canceling out 2.

$$\frac{47}{18}\times 2,5-\frac{\frac{4\times 3+1}{3}}{0,65}$$

Convert decimal number 2,5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{47}{18}\times \frac{5}{2}-\frac{\frac{4\times 3+1}{3}}{0,65}$$

Multiply \frac{47}{18} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{47\times 5}{18\times 2}-\frac{\frac{4\times 3+1}{3}}{0,65}$$

Do the multiplications in the fraction \frac{47\times 5}{18\times 2}.

$$\frac{235}{36}-\frac{\frac{4\times 3+1}{3}}{0,65}$$

Express \frac{\frac{4\times 3+1}{3}}{0,65} as a single fraction.

$$\frac{235}{36}-\frac{4\times 3+1}{3\times 0,65}$$

Multiply 4 and 3 to get 12.

$$\frac{235}{36}-\frac{12+1}{3\times 0,65}$$

Add 12 and 1 to get 13.

$$\frac{235}{36}-\frac{13}{3\times 0,65}$$

Multiply 3 and 0,65 to get 1,95.

$$\frac{235}{36}-\frac{13}{1,95}$$

Expand \frac{13}{1,95} by multiplying both numerator and the denominator by 100.

$$\frac{235}{36}-\frac{1300}{195}$$

Reduce the fraction \frac{1300}{195} to lowest terms by extracting and canceling out 65.

$$\frac{235}{36}-\frac{20}{3}$$

Least common multiple of 36 and 3 is 36. Convert \frac{235}{36} and \frac{20}{3} to fractions with denominator 36.

$$\frac{235}{36}-\frac{240}{36}$$

Since \frac{235}{36} and \frac{240}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{235-240}{36}$$

Subtract 240 from 235 to get -5.

$$-\frac{5}{36}$$

Factor

$$-\frac{5}{36} = -0.1388888888888889$$