Solve (1,26:2,4):1/3+5/6*(0,8-1,5*0,8)

$$( 1,26 : 2,4 ) : \frac { 1 } { 3 } + \frac { 5 } { 6 } \cdot ( 0,8 - 1,5 \cdot 0,8 )$$

Evaluate

$$\frac{149}{120}\approx 1,241666667$$

Solution Steps

Divide \frac{1,26}{2,4} by \frac{1}{3} by multiplying \frac{1,26}{2,4} by the reciprocal of \frac{1}{3}.

$$\frac{1,26\times 3}{2,4}+\frac{5}{6}\left(0,8-1,5\times 0,8\right)$$

Multiply 1,26 and 3 to get 3,78.

$$\frac{3,78}{2,4}+\frac{5}{6}\left(0,8-1,5\times 0,8\right)$$

Expand \frac{3,78}{2,4} by multiplying both numerator and the denominator by 100.

$$\frac{378}{240}+\frac{5}{6}\left(0,8-1,5\times 0,8\right)$$

Reduce the fraction \frac{378}{240} to lowest terms by extracting and canceling out 6.

$$\frac{63}{40}+\frac{5}{6}\left(0,8-1,5\times 0,8\right)$$

Multiply 1,5 and 0,8 to get 1,2.

$$\frac{63}{40}+\frac{5}{6}\left(0,8-1,2\right)$$

Subtract 1,2 from 0,8 to get -0,4.

$$\frac{63}{40}+\frac{5}{6}\left(-0,4\right)$$

Convert decimal number -0,4 to fraction -\frac{4}{10}. Reduce the fraction -\frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{63}{40}+\frac{5}{6}\left(-\frac{2}{5}\right)$$

Multiply \frac{5}{6} times -\frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{63}{40}+\frac{5\left(-2\right)}{6\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{63}{40}+\frac{-2}{6}$$

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

$$\frac{63}{40}-\frac{1}{3}$$

Least common multiple of 40 and 3 is 120. Convert \frac{63}{40} and \frac{1}{3} to fractions with denominator 120.

$$\frac{189}{120}-\frac{40}{120}$$

Since \frac{189}{120} and \frac{40}{120} have the same denominator, subtract them by subtracting their numerators.

$$\frac{189-40}{120}$$

Subtract 40 from 189 to get 149.

$$\frac{149}{120}$$

Factor

$$\frac{149}{3 \cdot 5 \cdot 2 ^ {3}} = 1\frac{29}{120} = 1.2416666666666667$$