To multiply a whole number by a mixed number, you can follow these steps:
Step 1: Convert the mixed number to an improper fraction.
To convert the mixed number 5 2/3 to an improper fraction, you multiply the whole number by the denominator of the fraction and add the numerator.
5 2/3 = (5 × 3 + 2)/3 = 17/3
Step 2: Multiply the improper fraction by the whole number.
Now that you have 17/3 as the improper fraction and 6 as the whole number, you can multiply them.
17/3 × 6 = (17 × 6)/(3 × 1) = 102/3 = 34
Therefore, 5 2/3 × 6 = 34.
