Solve θ=101/2(31/2)-1

$$\theta = 10 \frac { 1 } { 2 } ( 3 \frac { 1 } { 2 } ) - 1$$

Solve for θ

$$\theta =\frac{143}{4}=35.75$$

Steps for Solving Linear Equation

Multiply 10 and 2 to get 20.

$$\theta =\frac{20+1}{2}\times \frac{3\times 2+1}{2}-1$$

Add 20 and 1 to get 21.

$$\theta =\frac{21}{2}\times \frac{3\times 2+1}{2}-1$$

Multiply 3 and 2 to get 6.

$$\theta =\frac{21}{2}\times \frac{6+1}{2}-1$$

Add 6 and 1 to get 7.

$$\theta =\frac{21}{2}\times \frac{7}{2}-1$$

Multiply \frac{21}{2} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\theta =\frac{21\times 7}{2\times 2}-1$$

Do the multiplications in the fraction \frac{21\times 7}{2\times 2}.

$$\theta =\frac{147}{4}-1$$

Convert 1 to fraction \frac{4}{4}.

$$\theta =\frac{147}{4}-\frac{4}{4}$$

Since \frac{147}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.

$$\theta =\frac{147-4}{4}$$

Subtract 4 from 147 to get 143.

$$\theta =\frac{143}{4}$$

Assign θ

$$\theta ≔\frac{143}{4}$$