# What is 3 1/2% of 250?

Jan 28, 2017

A different approach!

$8 \frac{3}{4}$

#### Explanation:

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

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

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

Which is the same as $3 \frac{1}{2} \times 2.5$

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

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

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

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

3 1/2%" of "250 =8 3/4

Jan 28, 2017

$8.75 \mathmr{and} 8 \frac{3}{4}$

#### Explanation:

3 1/2 % of 250

$\therefore \frac{3.5}{\cancel{100}} ^ 1 \times {\cancel{250}}^{2.5} / 1$

$\therefore 3.5 \times 2.5 = 8.75 \mathmr{and} 8 \frac{3}{4}$

check:

$\therefore {\cancel{8.75}}^{.35} / \left({\cancel{250}}^{10}\right) \times \frac{100}{1}$

$\therefore \frac{.35}{\cancel{10}} ^ 1 \times {\cancel{100}}^{10} / 1$

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