Solve B = - 1/2 - 7/2 * 1/24 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$B=-\frac{1}{2}-\frac{7}{2}\times\frac{1}{24}$$

Solve for B

$B=-\frac{31}{48}\approx -0.645833333$

Steps for Solving Linear Equation

Multiply $\frac{7}{2}$ times $\frac{1}{24}$ by multiplying numerator times numerator and denominator times denominator.

$$B=-\frac{1}{2}-\frac{7\times 1}{2\times 24}$$

Do the multiplications in the fraction $\frac{7\times 1}{2\times 24}$.

$$B=-\frac{1}{2}-\frac{7}{48}$$

Least common multiple of $2$ and $48$ is $48$. Convert $-\frac{1}{2}$ and $\frac{7}{48}$ to fractions with denominator $48$.

$$B=-\frac{24}{48}-\frac{7}{48}$$

Since $-\frac{24}{48}$ and $\frac{7}{48}$ have the same denominator, subtract them by subtracting their numerators.

$$B=\frac{-24-7}{48}$$

Subtract $7$ from $-24$ to get $-31$.

$$B=-\frac{31}{48}$$

Assign B

$B≔-\frac{31}{48}$