Question

Find the missing no.x 2(x/6)+4(5/12)=6(7/12)

Answer 1

Answer:

$2\left(\dfrac{x}{6}\right)+4\left(\dfrac{5}{12}\right)=6\left(\dfrac{7}{12}\right)\quad :\quad x=\dfrac{11}{2}\quad \left(\mathrm{Decimal}:\quad x=5.5\right)$

Step-by-step explanation:

$2\left(\dfrac{x}{6}\right)+4\left(\dfrac{5}{12}\right)=6\left(\dfrac{7}{12}\right)$

$\gray{\mathrm{Subtract\:}4\left(\dfrac{5}{12}\right)\mathrm{\:from\:both\:sides}}$

$2\cdot \dfrac{x}{6}+4\cdot \dfrac{5}{12}-4\cdot \dfrac{5}{12}=6\cdot \dfrac{7}{12}-4\cdot \dfrac{5}{12}$

$\gray{\mathrm{Simplify}}$

$2\cdot \dfrac{x}{6}=\dfrac{11}{6}$

$\black{\mathrm{Refine\:}2\cdot \dfrac{x}{6}:\quad \dfrac{x}{3}}$

$\dfrac{x}{3}=\dfrac{11}{6}$

$\gray{\mathrm{Multiply\:both\:sides\:by\:}3}$

$\dfrac{x}{3}\cdot \:3=\dfrac{11}{6}\cdot \:3$

$\gray{\mathrm{Simplify}}$

$x=\dfrac{11}{2}$