Solve 1,2*(57/8-42/6)/2,4+6,6-1/45

$$\frac { 1,2 \cdot ( \frac { 57 } { 8 } - 4 \frac { 2 } { 6 } ) } { 2,4 + 6,6 } - \frac { 1 } { 45 }$$

Evaluate

$$0,35$$

Solution Steps

Multiply 4 and 6 to get 24.

$$\frac{1,2\left(\frac{57}{8}-\frac{24+2}{6}\right)}{2,4+6,6}-\frac{1}{45}$$

Add 24 and 2 to get 26.

$$\frac{1,2\left(\frac{57}{8}-\frac{26}{6}\right)}{2,4+6,6}-\frac{1}{45}$$

Reduce the fraction \frac{26}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1,2\left(\frac{57}{8}-\frac{13}{3}\right)}{2,4+6,6}-\frac{1}{45}$$

Least common multiple of 8 and 3 is 24. Convert \frac{57}{8} and \frac{13}{3} to fractions with denominator 24.

$$\frac{1,2\left(\frac{171}{24}-\frac{104}{24}\right)}{2,4+6,6}-\frac{1}{45}$$

Since \frac{171}{24} and \frac{104}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1,2\times \frac{171-104}{24}}{2,4+6,6}-\frac{1}{45}$$

Subtract 104 from 171 to get 67.

$$\frac{1,2\times \frac{67}{24}}{2,4+6,6}-\frac{1}{45}$$

Convert decimal number 1,2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{6}{5}\times \frac{67}{24}}{2,4+6,6}-\frac{1}{45}$$

Multiply \frac{6}{5} times \frac{67}{24} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{6\times 67}{5\times 24}}{2,4+6,6}-\frac{1}{45}$$

Do the multiplications in the fraction \frac{6\times 67}{5\times 24}.

$$\frac{\frac{402}{120}}{2,4+6,6}-\frac{1}{45}$$

Reduce the fraction \frac{402}{120} to lowest terms by extracting and canceling out 6.

$$\frac{\frac{67}{20}}{2,4+6,6}-\frac{1}{45}$$

Add 2,4 and 6,6 to get 9.

$$\frac{\frac{67}{20}}{9}-\frac{1}{45}$$

Express \frac{\frac{67}{20}}{9} as a single fraction.

$$\frac{67}{20\times 9}-\frac{1}{45}$$

Multiply 20 and 9 to get 180.

$$\frac{67}{180}-\frac{1}{45}$$

Least common multiple of 180 and 45 is 180. Convert \frac{67}{180} and \frac{1}{45} to fractions with denominator 180.

$$\frac{67}{180}-\frac{4}{180}$$

Since \frac{67}{180} and \frac{4}{180} have the same denominator, subtract them by subtracting their numerators.

$$\frac{67-4}{180}$$

Subtract 4 from 67 to get 63.

$$\frac{63}{180}$$

Reduce the fraction \frac{63}{180} to lowest terms by extracting and canceling out 9.

$$\frac{7}{20}$$

Factor

$$\frac{7}{5 \cdot 2 ^ {2}} = 0.35$$