Calculating Mixed Fraction Multiplication

a) 3 1/4 × 6
To multiply mixed fractions, we first convert them into improper fractions.
Step 1: Convert the mixed fraction into an improper fraction
3 1/4 = (4*3 + 1)/4 = 13/4
Step 2: Multiply the improper fraction by the whole number
13/4 * 6 = 13/4 * 6/1 = 78/4 = 19 2/4
Step 3: Simplify the fraction and express as a mixed fraction
19 2/4 can be simplified to 19 1/2
Therefore, 3 1/4 × 6 = 19 1/2

b) 3 2/5 × 8
Step 1: Convert the mixed fraction into an improper fraction
3 2/5 = (5*3 + 2)/5 = 17/5
Step 2: Multiply the improper fraction by the whole number
17/5 * 8 = 17/5 * 8/1 = 136/5
Step 3: Simplify the fraction and express as a mixed fraction
136/5 is already in its simplest form, so it can be expressed as 27 1/5
Therefore, 3 2/5 × 8 = 27 1/5
In conclusion, to multiply mixed fractions, convert them into improper fractions, perform the multiplication, simplify the result, and express it as a mixed fraction.