What is the value of 33 1/3 % as a fraction?
Solution:
A mixed fraction is a combination of a whole number and a proper fraction.
Let's convert 33â…“ % into a fraction
We know that any mixed fraction is an improper fraction.
Step 1: Convert mixed fraction into an improper fraction.
(denominator × whole number + numerator) ÷ denominator
⇒ (3 × 33 + 1) ÷ 3= 100/3 %
⇒ 100/3 %
Step 2: To convert the percentage as a fraction, we need to divide the fraction by 100.
⇒ (100/3 ) ÷ 100
Step 3: To divide the first fraction with a number or a fraction, we take the reciprocal of the second fraction and multiply them
⇒ (100/3) ÷ (100/1)
⇒ (100/3) × (1/100)
⇒ (100 × 1) / (3 × 100)
⇒ 100/300
⇒ 1/3
Step 4: The GCF of the two numbers is 1 and this fraction cannot be simplified further.
Therefore, 1/3 is the simplest form of the fraction.
Thus, the value of 33 1/3 % as a fraction is 1/3.
What is the value of 33 1/3 % as a fraction?
Summary:
The value of 33 1/3 % is equal to the fraction 1/3.
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