Two lions, Fluffy and Fireball, met at the zoo. Fluffy's tail is 1\dfrac{1}{3}1 3 1 ​ 1, start fraction, 1, divided by, 3, end fraction of a meter long. Fireball's tail is 1\dfrac{1}{4}1 4 1 ​ 1, start fraction, 1, divided by, 4, end fraction of a meter long. How much longer is Fluffy's tail than Fireball's tail?

Respuesta :

Answer: Fluffy's tail  is [tex]\dfrac1{12}[/tex] m longer than Fireball's tail.

Step-by-step explanation:

Length of Fluffy's tail = [tex]1\dfrac13[/tex] m [tex]=\dfrac43[/tex] m

Length of Fireball's tail = [tex]1\dfrac14[/tex] m [tex]=\dfrac54[/tex] m

Difference = Length of Fluffy's tail - Length of Fireball's tail

[tex]=\dfrac43-\dfrac54=\dfrac{4\times4-5\times3}{3\times4}\\\\=\dfrac{16-15}{12}\\\\=\dfrac1{12}[/tex]

Hence, Fluffy's tail  is [tex]\dfrac1{12}[/tex] m longer than Fireball's tail.