Solve M_{2}=-2*1.296+(-1/3)*5/5+1.296=

$$M _ { 2 } = \frac { - 2 \cdot 1.296 + ( - \frac { 1 } { 3 } ) \cdot 5 } { 5 + 1.296 } =$$

Solve for M_2

$$M_{2}=-\frac{1597}{2361}\approx -0.676408302$$

Steps for Solving Linear Equation

Multiply -2 and 1.296 to get -2.592.

$$M_{2}=\frac{-2.592-\frac{1}{3}\times 5}{5+1.296}$$

Express -\frac{1}{3}\times 5 as a single fraction.

$$M_{2}=\frac{-2.592+\frac{-5}{3}}{5+1.296}$$

Fraction \frac{-5}{3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

$$M_{2}=\frac{-2.592-\frac{5}{3}}{5+1.296}$$

Convert decimal number -2.592 to fraction -\frac{2592}{1000}. Reduce the fraction -\frac{2592}{1000} to lowest terms by extracting and canceling out 8.

$$M_{2}=\frac{-\frac{324}{125}-\frac{5}{3}}{5+1.296}$$

Least common multiple of 125 and 3 is 375. Convert -\frac{324}{125} and \frac{5}{3} to fractions with denominator 375.

$$M_{2}=\frac{-\frac{972}{375}-\frac{625}{375}}{5+1.296}$$

Since -\frac{972}{375} and \frac{625}{375} have the same denominator, subtract them by subtracting their numerators.

$$M_{2}=\frac{\frac{-972-625}{375}}{5+1.296}$$

Subtract 625 from -972 to get -1597.

$$M_{2}=\frac{-\frac{1597}{375}}{5+1.296}$$

Add 5 and 1.296 to get 6.296.

$$M_{2}=\frac{-\frac{1597}{375}}{6.296}$$

Express \frac{-\frac{1597}{375}}{6.296} as a single fraction.

$$M_{2}=\frac{-1597}{375\times 6.296}$$

Multiply 375 and 6.296 to get 2361.

$$M_{2}=\frac{-1597}{2361}$$

Fraction \frac{-1597}{2361} can be rewritten as -\frac{1597}{2361} by extracting the negative sign.

$$M_{2}=-\frac{1597}{2361}$$

Assign M_2

$$M_{2}≔-\frac{1597}{2361}$$