Priya’s cat weights 5 1/2 pounds and her dog weighs 8 1/4 pounds. The dog is ______ pounds heavier than the cat.

Question

Priya’s cat weights 5 1/2 pounds and her dog weighs 8 1/4 pounds. The dog is ______ pounds heavier than the cat.

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Thạch Thảo 6 months 2021-08-07T16:09:02+00:00 2 Answers 11 views 0

Answers ( )

    0
    2021-08-07T16:10:39+00:00

    2 3/4

    Steps

    8 1/4 – 5 1/2

    a. Find Common Denominator

    8 1/4 – 5 2/4

    b. Make Improper Fractions

    8 × 4 + 1 = 33

    33/4

    5 × 4 + 2

    22/4

    c. Subtract

    33/4 – 22/4 = 11/4

    d. Simplify

    11/4 = 2 3/4

    e. Answer

    Therefore, Priya’s dog is 2 3/4 pounds heavier than the cat.

    0
    2021-08-07T16:10:59+00:00

    Answer:

    2\frac{3}{4}

    Step-by-step explanation:

    We have to subtract the weight of the cat from the weight of the dog.

    8\frac{1}{4} -5\frac{1}{2}

    The first issue here is that there is not a common denominator. I’m going to multiply that 1/2 by 2 to make it 2/4. The 5 does NOT change.

    8\frac{1}{4} -5\frac{2}{4}

    Subtract the whole numbers first.

    8\frac{1}{4} -5\frac{2}{4} = 3\frac{1}{4} -\frac{2}{4}

    Then, we’ll convert the first term to an improper fraction. We can do that by multiplying the whole number by the denominator and adding that number to the numerator.

    3\frac{1}{4} -\frac{2}{4} ==> \frac{13}{4} - \frac{2}{4}

    Solve.

    \frac{13}{4} -\frac{2}{4} = \frac{11}{4}

    Then, convert to a mixed number by dividing 11 by 4 and leaving the remainder in the numerator and putting the quotient in front as the whole number.

    \frac{11}{4} ==> 2\frac{3}{4}

    So, the answer is 2\frac{3}{4}

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