Answer: 2
Step-by-step explanation: To multiply a mixed number by a fraction such as 5 and 1/3 × 3/8, first write the mixed number as an improper fraction.
To write 5 and 1/3 as an improper fraction, we multiply the denominator by the whole number and adding the numerator. We then put our new numerator over our original denominator.
So 5 and 1/3 can be written as the improper fraction 16/3.
Now we have 16/3 × 3/8.
Now, when multiplying fractions, always try to cross-cancel whenever possible so it will save us a few steps.
Notice that 16 and 8 cross cancel to 2 and 1 and 3 and 3 cross cancel to 1 and 1.
Now, we multiply across the numerators and multiply across the denominators.
Image provided.
Therefore, 5 and 1/3 × 3/8 = 2.
