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OverLord2011 [107]
2 years ago
7

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

Mathematics
2 answers:
Solnce55 [7]2 years ago
4 0

2 3/4

Steps

8 1/4 - 5 1/2

<u>a. Find Common Denominator</u>

8 1/4 - 5 2/4

<u>b. Make Improper Fractions</u>

8 × 4 + 1 = 33

33/4

5 × 4 + 2

22/4

<u>c</u><u>.</u><u> </u><u>Subtract</u>

33/4 - 22/4 = 11/4

<u>d</u><u>.</u><u> </u><u>Simplify</u>

11/4 = 2 3/4

<u>e</u><u>.</u><u> </u><u>Answer</u>

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

liraira [26]2 years ago
3 0

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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