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Kenji collected 1 3/4 pounds of newspaper for the recycling drive. Reagan collected 9 1/2 times as much newspaper as Kenji. How many pounds of the newspaper did Reagan collect?

Respuesta :

PokeyAnna

Answer:

Reagan collected 16 5/8 pounds of newspaper

Step-by-step explanation:

Kenji = 1 3/4 lbs

Reagan = 9 1/2 times 1 3/4 lbs

To solve, find a common denominator:

  • 1 3/4 and 9 1/2
  • 1 6/8 and 9 4/8

Now turn them into improper fractions:

  • 1 6/8  = 14/8
  • 9 4/8 = 76/8

Multiply them together:

  • 14/8 x 76/8 = 1064/64
  • 1064/64 = 133/8
  • 133/8 = 16 5/8

Just multiply

[tex]\\ \tt\hookrightarrow 9\dfrac{1}{2}\times 1\dfrac{3}{4}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{19}{2}times \dfrac{7}{4}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{19(7)}{2(4)}[/tex]

[tex]\\ \tt\hookrightarrow 133/8[/tex]