Solve G=(7)/(2)+((4)/(5)-(3)/(10)) | 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

$$G= \frac{ 7 }{ 2 } +( \frac{ 4 }{ 5 } - \frac{ 3 }{ 10 } )$$

Solve for G

$G=4$

Steps for Solving Linear Equation

Least common multiple of $2$ and $5$ is $10$. Convert $\frac{7}{2}$ and $\frac{4}{5}$ to fractions with denominator $10$.

$$G=\frac{35}{10}+\frac{8}{10}-\frac{3}{10}$$

Since $\frac{35}{10}$ and $\frac{8}{10}$ have the same denominator, add them by adding their numerators.

$$G=\frac{35+8}{10}-\frac{3}{10}$$

Add $35$ and $8$ to get $43$.

$$G=\frac{43}{10}-\frac{3}{10}$$

Since $\frac{43}{10}$ and $\frac{3}{10}$ have the same denominator, subtract them by subtracting their numerators.

$$G=\frac{43-3}{10}$$

Subtract $3$ from $43$ to get $40$.

$$G=\frac{40}{10}$$

Divide $40$ by $10$ to get $4$.

$$G=4$$

Assign G

$G≔4$