What is $3 \frac{1}{2} %$ $3 1/2%$ of $250$ $250$ ?

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What is $3 \frac{1}{2} %$ $3 1/2%$ of $250$ $250$ ?

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Answer 1 · 2017-01-28T15:26:37

A different approach!

$8 \frac{3}{4}$ $8 3/4$

Explanation:

the % is like a unit of measurement that is worth $\frac{1}{100}$ $1/100$

So $3 \frac{1}{2} % is the same as 3 \frac{1}{2} \times \frac{1}{100} = \frac{3 \frac{1}{2}}{100}$ $3 1/2%" is the same as "3 1/2xx1/100 = (3 1/2)/100$
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Write as: $\frac{3 \frac{1}{2}}{100} \times 250$ $(3 1/2)/100xx250$

This is the same as: $3 \frac{1}{2} \times \frac{250}{100}$ $3 1/2xx250/100$

Which is the same as $3 \frac{1}{2} \times 2.5$ $3 1/2xx2.5$

Which is the same as $3 \frac{1}{2} \times (2 + \frac{1}{2})$ $3 1/2xx(2+1/2)$

Twice $3 \frac{1}{2} = 7$ $3 1/2=7$
Half of $3 \frac{1}{2} = 1 \frac{3}{4}$ $3 1/2=1 3/4$

$7 + 1 \frac{3}{4} = 8 \frac{3}{4}$ $7+1 3/4=8 3/4$

NOTE THAT the question uses fractional format so it is good practice to give the answer in the same format.

$3 \frac{1}{2} % of 250 = 8 \frac{3}{4}$ $3 1/2%" of "250 =8 3/4$

Answer 2 · 2017-01-28T15:32:41

$8.75 or 8 \frac{3}{4}$ $8.75 or 8 3/4$

Explanation:

$3 \frac{1}{2} %$ $3 1/2 %$ of 250

$:.3.5/cancel100^1 xx cancel250^2.5/1$

$:.3.5 xx 2.5 =8.75 or 8 3/4$

check:

$:.cancel(8.75)^.35/(cancel250^10) xx 100/1$

$:..35/cancel10^1 xx cancel100^10/1$

$:..35 xx 10=3.5 or 3 1/2 %$

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