Question

What is 33.5 % as a Decimal and a fraction?

Answer 1

`p\%=(p)/(100)\\\\33.5\%=(33.5)/(100)=(33.5\cdot10)/(100\cdot10)=(335)/(1000)\\\\(335)/(1000)=0.335\\\\(335)/(1000)=(335:5)/(1000:5)=(67)/(200)`

`Answer:\\\\\boxed{33.5\%=0.335}\\\boxed{33.5\%=(67)/(200)}`

Answer 2

Decimal: 0.035

Fraction: 67/200

Explanation:

Convert the percentage to a fraction by placing the expression over

100

. Percentage means 'out of

100

'.

33.5

100

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there is

1

number to the right of the decimal point, move the decimal point

1

place to the right.

335

1000

Reduce the expression by cancelling the common factors.

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67

200

Convert the fraction to a decimal by dividing the numerator by the denominator.

0.335