Solve 4 2/3 * oF * 8 3/4 = 3/4 | 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

$$4\frac{2}{3}oF8\frac{3}{4}=\frac{3}{4}$$

Solve for F

$F=\frac{9}{490o}$
$o\neq 0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $3,4$.

$$\left(4\times 3+2\right)oF\left(8\times 4+3\right)=9$$

Multiply $4$ and $3$ to get $12$.

$$\left(12+2\right)oF\left(8\times 4+3\right)=9$$

Add $12$ and $2$ to get $14$.

$$14oF\left(8\times 4+3\right)=9$$

Multiply $8$ and $4$ to get $32$.

$$14oF\left(32+3\right)=9$$

Add $32$ and $3$ to get $35$.

$$14oF\times 35=9$$

Multiply $14$ and $35$ to get $490$.

$$490oF=9$$

Divide both sides by $490o$.

$$\frac{490oF}{490o}=\frac{9}{490o}$$

Dividing by $490o$ undoes the multiplication by $490o$.

$$F=\frac{9}{490o}$$

Solve for o

$o=\frac{9}{490F}$
$F\neq 0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $3,4$.

$$\left(4\times 3+2\right)oF\left(8\times 4+3\right)=9$$

Multiply $4$ and $3$ to get $12$.

$$\left(12+2\right)oF\left(8\times 4+3\right)=9$$

Add $12$ and $2$ to get $14$.

$$14oF\left(8\times 4+3\right)=9$$

Multiply $8$ and $4$ to get $32$.

$$14oF\left(32+3\right)=9$$

Add $32$ and $3$ to get $35$.

$$14oF\times 35=9$$

Multiply $14$ and $35$ to get $490$.

$$490oF=9$$

The equation is in standard form.

$$490Fo=9$$

Divide both sides by $490F$.

$$\frac{490Fo}{490F}=\frac{9}{490F}$$

Dividing by $490F$ undoes the multiplication by $490F$.

$$o=\frac{9}{490F}$$