How do you write $4 \frac{3}{5}$ $4 3/5$ as a percent?

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How do you write $4 \frac{3}{5}$ $4 3/5$ as a percent?

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Answer 1 · 2016-11-26T00:45:03

$460 %$ $460%$

Explanation:

problem given
write fraction $4 \frac{3}{5}$ $4(3)/(5)$ as a percent

concept applied

converting mixed number to improper fraction
$a \frac{b}{c} = \frac{(a \times c) + b}{c}$ $a(b)/(c)=((a\timesc)+b)/c$
decimal conversion to percent
given decimal $0 . c d$ $0.cd$ , just multiply by 100 and you will get the percentage form $\Rightarrow 0 . c d \times 100 = c d %$ $\rArr0.cd\times100=cd%$

calculation
mixed number $4 \frac{3}{5}$ $4(3)/(5)$ to improper form: $\frac{(4 \times 5) + 3}{5} = \frac{23}{5}$ $((4\times5)+3)/5=23/5$
dividing that fraction we get $23 \div 5 = 4.6$ $23\div5=4.6$
getting percentage form $\Rightarrow 460 %$ $\rArr460%$

Answer 2 · 2016-11-26T01:44:08

460%

Explanation:

Percent means 'out of every 100'.
You can always replace % with $\frac{1}{100}$ $1/100$ as %= $\frac{1}{100}$ $1/100$
.
1, whole part of anything etc means 100% as 100% means 1.

Solution:

Given fraction = $4 + \frac{3}{5}$ $4+3/5$

= $(4 \times 100) \times \frac{1}{100} + (\frac{3}{5} \times 100) \times \frac{1}{100}$ $(4×100)×1/100+(3/5×100)×1/100$

= $400 \times \frac{1}{100} + 60 \times \frac{1}{100}$ $400×1/100+60×1/100$

= $400 % + 60 % = 460 %$ $400%+60% = 460%$

(as $\frac{1}{100} = %$ $1/100=%$ )

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