Solve y / 51, 6 = 11, 2/34, 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

$$y:51,6=11,2:34,4$$

Solve for y

$y=16,8$

Steps for Solving Linear Equation

Expand $\frac{11,2}{34,4}$ by multiplying both numerator and the denominator by $10$.

$$\frac{y}{51,6}=\frac{112}{344}$$

Reduce the fraction $\frac{112}{344}$ to lowest terms by extracting and canceling out $8$.

$$\frac{y}{51,6}=\frac{14}{43}$$

Multiply both sides by $51,6$.

$$y=\frac{14}{43}\times 51,6$$

Convert decimal number $51,6$ to fraction $\frac{516}{10}$. Reduce the fraction $\frac{516}{10}$ to lowest terms by extracting and canceling out $2$.

$$y=\frac{14}{43}\times \frac{258}{5}$$

Multiply $\frac{14}{43}$ times $\frac{258}{5}$ by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{14\times 258}{43\times 5}$$

Do the multiplications in the fraction $\frac{14\times 258}{43\times 5}$.

$$y=\frac{3612}{215}$$

Reduce the fraction $\frac{3612}{215}$ to lowest terms by extracting and canceling out $43$.

$$y=\frac{84}{5}$$