What is T In the equation 3/7+t=20/21

Mathematics

1 answer:

stealth61 [152]3 years ago

8 0

Answer:

$\large\boxed{t=\dfrac{11}{21}}$

Step-by-step explanation:

$\dfrac{3}{7}+t=\dfrac{20}{21}\qquad\text{subtract}\ \dfrac{3}{7}\ \text{from both sides}\\\\\dfrac{3}{7}-\dfrac{3}{7}+t=\dfrac{20}{21}-\dfrac{3}{7}\qquad\text{LCD(7, 21)=21}\\\\t=\dfrac{20}{21}-\dfrac{3\cdot3}{7\cdot3}\\\\t=\dfrac{20}{21}-\dfrac{9}{21}\\\\t=\dfrac{20-9}{21}\\\\t=\dfrac{11}{21}$

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