QuestionConvert these percentages to decimals and simplest fractions: 1. $350 \%=$ 2. $600 \%=$ 3. $0.15 \%=$

Studdy Solution

STEP 1

Assumptions1. We are asked to convert percentages into decimal and mixed number or fraction in simplest form. . The given percentages are $350\%$ , $600\%$ , and $0.15\%$ .

STEP 2

To convert a percentage to a decimal, we divide the percentage by100.
$Decimal = \frac{Percentage}{100}$

STEP 3

Now, plug in the given value for the first percentage to calculate the decimal.
$Decimal = \frac{350}{100}$

STEP 4

Calculate the decimal value for the first percentage.
$Decimal = \frac{350}{100} =3.$

STEP 5

To convert a decimal to a fraction, we consider the decimal as the numerator and1 as the denominator. Then, we simplify the fraction.
$Fraction = \frac{Decimal}{1}$

STEP 6

Now, plug in the calculated decimal value to get the fraction.
$Fraction = \frac{3.5}{1}$

STEP 7

implify the fraction to get a mixed number. The whole number part is the integer part of the decimal, and the fractional part is the decimal part over1, simplified.
$Mixed\, Number =3\, \frac{1}{2}$

STEP 8

Repeat steps3-7 for the second percentage.
$Decimal = \frac{600}{100} =6$ $Fraction = \frac{6}{1}$ $Mixed\, Number =6$

STEP 9

Repeat steps3-7 for the third percentage.
$Decimal = \frac{.15}{100} =.0015$ $Fraction = \frac{.0015}{}$

STEP 10

implify the fraction for the third percentage. Since the decimal part is less than, the fraction is already in simplest form.
$Fraction = \frac{0.0015}{}$ So, the decimal and fraction/mixed number forms of the given percentages are. $350\% =3.5 =3\, \frac{}{2}$
2. $600\% =6 =6$
3. $0.15\% =0.0015 = \frac{0.0015}{}$

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