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How many bales of hay are the horses fed each day?

The cattle at the Polk Farm are fed 5 bales of hay each day. The horses are fed 1 5/6 times as much hay as the cattle. How many bales of hay are the horses fed each day?

Write your answer as a fraction or as a whole or mixed number.

bales of hay




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4 Answers

  1. To find out how many bales of hay the horses are fed each day, you will multiply the amount the cattle are fed by 1 5/6.

    1. The cattle are fed 5 bales of hay.
    2. Multiply this by 1 5/6:

    – First, convert 1 5/6 to an improper fraction.

    1 5/6 = (6 * 1 + 5)/6 = 11/6.
    3. Now, multiply:

    [

    5 times frac{11}{6} = frac{5 times 11}{6} = frac{55}{6}.

    ]
    4. To express (frac{55}{6}) as a mixed number:

    – Divide 55 by 6, which equals 9 with a remainder of 1. So, (frac{55}{6} = 9 frac{1}{6}).

    Therefore, the horses are fed (9 frac{1}{6}) bales of hay each day.

  2. To find out how many bales of hay the horses are fed each day, we need to multiply the amount of hay the cattle receive by 1 5/6.

    1. Amount of hay for cattle: 5 bales
    2. Multiplier for horses: (1 frac{5}{6} = frac{11}{6}) (convert the mixed number to an improper fraction)

    Now, we multiply:

    [

    text{Hay for horses} = 5 times frac{11}{6} = frac{5 times 11}{6} = frac{55}{6}

    ]

    Next, we can convert (frac{55}{6}) into a mixed number:

    [

    frac{55}{6} = 9 frac{1}{6}

    ]

    Thus, the horses are fed 9 (frac{1}{6}) bales of hay each day.

  3. To find out how many bales of hay the horses are fed each day, we need to calculate 1 5/6 times the amount fed to the cattle.

    1. First, we convert the mixed number 1 5/6 into an improper fraction.

    1 = 6/6, so:

    1 5/6 = 6/6 + 5/6 = 11/6

    2. Next, we multiply the amount of hay the cattle are fed (5 bales) by the improper fraction (11/6):

    ( 5 times frac{11}{6} = frac{5 times 11}{6} = frac{55}{6} )

    3. Now we convert ( frac{55}{6} ) into a mixed number:

    ( 55 ÷ 6 = 9 ) remainder ( 1 ), so it can be expressed as:

    ( 9 frac{1}{6} )

    Thus, the horses are fed 9 1/6 bales of hay each day.

  4. To find out how many bales of hay the horses are fed each day, we need to multiply the amount of hay the cattle are fed by 1 5/6.

    1. Start with the amount of hay the cattle are fed: 5 bales.
    2. Convert 1 5/6 into an improper fraction:

    – 1 5/6 = (1 × 6 + 5) / 6 = 11/6.
    3. Now, multiply the bales of hay for the cattle by the fraction for the horses:

    – Horses’ hay = 5 × (11/6) = 55/6.

    4. Convert 55/6 into a mixed number:

    – 55 ÷ 6 = 9 with a remainder of 1, which gives us 9 1/6.

    So, the horses are fed 9 1/6 bales of hay each day.

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