Question

What is 33.5 % as a Decimal and a fraction?

Answer 1

Answer:

Decimal: 0.035

Fraction: 67/200

Step-by-step 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

Answer 2

$p\%=\dfrac{p}{100}\\\\33.5\%=\dfrac{33.5}{100}=\dfrac{33.5\cdot10}{100\cdot10}=\dfrac{335}{1000}\\\\\dfrac{335}{1000}=0.335\\\\\dfrac{335}{1000}=\dfrac{335:5}{1000:5}=\dfrac{67}{200}$

$Answer:\\\\\boxed{33.5\%=0.335}\\\boxed{33.5\%=\dfrac{67}{200}}$