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Answer :
To find the weight of the average man in pounds, we start with the information that the average blue whale weighs
[tex]$$300,\!000 \text{ pounds}$$[/tex]
and that the average man weighs
[tex]$$\frac{1}{1818}$$[/tex]
of the weight of a blue whale.
Thus, the weight of the average man, [tex]$W$[/tex], is given by
[tex]$$
W = \frac{300,\!000}{1818}.
$$[/tex]
Step 1. Simplify the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by 6, since
[tex]$$
1818 \div 6 = 303 \quad \text{and} \quad 300,\!000 \div 6 = 50,\!000.
$$[/tex]
So,
[tex]$$
W = \frac{50,\!000}{303}.
$$[/tex]
Step 2. Express as a Mixed Number
To convert [tex]$\frac{50,\!000}{303}$[/tex] to a mixed number, we perform the division:
1. Divide 50,000 by 303 to find the integer part:
[tex]$$303 \times 165 = 49,\!995,$$[/tex]
and
[tex]$$50,\!000 - 49,\!995 = 5.$$[/tex]
2. Hence, the integer part is 165 and the fraction part is [tex]$\frac{5}{303}$[/tex].
Thus, the weight can be written as
[tex]$$
165 \frac{5}{303} \text{ pounds}.
$$[/tex]
Final Answer:
The average man weighs
[tex]$$
\boxed{165 \frac{5}{303} \text{ pounds}}.
$$[/tex]
[tex]$$300,\!000 \text{ pounds}$$[/tex]
and that the average man weighs
[tex]$$\frac{1}{1818}$$[/tex]
of the weight of a blue whale.
Thus, the weight of the average man, [tex]$W$[/tex], is given by
[tex]$$
W = \frac{300,\!000}{1818}.
$$[/tex]
Step 1. Simplify the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by 6, since
[tex]$$
1818 \div 6 = 303 \quad \text{and} \quad 300,\!000 \div 6 = 50,\!000.
$$[/tex]
So,
[tex]$$
W = \frac{50,\!000}{303}.
$$[/tex]
Step 2. Express as a Mixed Number
To convert [tex]$\frac{50,\!000}{303}$[/tex] to a mixed number, we perform the division:
1. Divide 50,000 by 303 to find the integer part:
[tex]$$303 \times 165 = 49,\!995,$$[/tex]
and
[tex]$$50,\!000 - 49,\!995 = 5.$$[/tex]
2. Hence, the integer part is 165 and the fraction part is [tex]$\frac{5}{303}$[/tex].
Thus, the weight can be written as
[tex]$$
165 \frac{5}{303} \text{ pounds}.
$$[/tex]
Final Answer:
The average man weighs
[tex]$$
\boxed{165 \frac{5}{303} \text{ pounds}}.
$$[/tex]
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Rewritten by : Barada
