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14³/₈ or 14.375 pounds.
Given:
The vet tells him his cat's weight is ⁵/₈ as his dog's weight.
Question:
How much does his cat weigh?
The Process:
Since the vet tells him his cat's weight is part of his dog's weight by ⁵/₈ part, let us create an 8-unit pattern that represents the dog's weight.
And now, let us find out the cat's weight. As we know, the cats' weight is ⁵/₈ the dog's weight.
The cat's weight:
[tex]\boxed{ \ = \frac{5}{8} \times 23 \ }[/tex]
[tex]\boxed{ \ = \frac{5 \times 23}{8} \ }[/tex]
Recall this [tex]\boxed{ \ 5 \times (20 + 3) = (5 \times 20) + (5 \times 3) = 100 + 15 = 115 \ }[/tex]
[tex]\boxed{ \ = \frac{115}{8} \ }[/tex]
Recall this [tex]\boxed{ \ 115 \div 8 = (14 \times 8) + 3 \ }[/tex]
[tex]\boxed{ \ = 14\frac{3}{8} \ }[/tex] as a mixed fraction
[tex]\boxed{ \ = 14\frac{3 \times 125}{8 \times 125} = 14\frac{375}{1,000} = 14.375 \ }[/tex] as a decimal fraction
Thus, his cat weigh is [tex]\boxed{ \ 14\frac{3}{8} \ or \ 14.375 \ pounds \ }[/tex]
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