Final answer:
To multiply mixed fractions 7 3/4 and 1 1/2, first convert them to improper fractions as 31/4 and 3/2, then multiply to get 93/8 and simplify that to 11 5/8.
Step-by-step explanation:
To multiply the fractions 7 3/4 and 1 1/2, first convert each mixed number to an improper fraction. For 7 3/4, multiply the whole number 7 by the denominator 4 and add the numerator 3 to get 31/4. For 1 1/2, multiply the whole number 1 by the denominator 2 and add the numerator 1 to get 3/2.
Next, multiply the numerators together and the denominators together: (31/4) × (3/2) = 93/8. To simplify, you can convert the improper fraction back to a mixed number. Since 93 divided by 8 equals 11 with a remainder of 5, the result as a mixed number is 11 5/8.
Multiplication of fractions requires you to multiply the numerators (top numbers) and the denominators (bottom numbers) and simplify the resulting fraction. This process can involve converting mixed numbers to improper fractions and simplifying when possible.