what are the equalvalent fraction and decimal for 33 1/3
To find the equivalent fraction and decimal for 33 1/3, we can start by converting the mixed number (33 1/3) into an improper fraction.
Step 1: Multiply the whole number (33) by the denominator of the fraction (3) and add the numerator (1). This gives us: 33 × 3 + 1 = 100.
Step 2: Write the sum obtained in the previous step as the numerator, placing it over the denominator of the fraction. The improper fraction is 100/3.
To find the equivalent fraction, we can multiply or divide both the numerator and denominator of the fraction by the same number. In this case, multiplying by 3 will give us a whole number numerator.
Step 3: Multiplying both the numerator and denominator of 100/3 by 3, the equivalent fraction is (100 × 3) / (3 × 3) = 300/9.
To simplify the fraction, we can reduce it by finding the greatest common divisor (GCD) of the numerator and denominator, which is 3 in this case.
Step 4: Divide both the numerator and denominator of 300/9 by the GCD (3), resulting in the simplified fraction of 100/3 or 33 1/3.
Now, let's find the decimal equivalent of 33 1/3.
Step 5: To convert the fraction 1/3 into a decimal, divide 1 by 3. This gives us 0.3333... (recurring decimal).
Step 6: Add the whole number (33) to the decimal obtained in Step 5. The decimal equivalent of 33 1/3 is approximately 33.3333... (recurring decimal).