Final answer:
To multiply 1 1/2 x 2 9/10 using the standard algorithm strategy, convert the mixed numbers to improper fractions, multiply the numerators and denominators separately, simplify the fraction if possible, and write the final answer as a mixed number if necessary.
Step-by-step explanation:
To solve the multiplication problem 1 1/2 x 2 9/10 using the standard algorithm strategy, follow these steps:
- Convert the mixed numbers to improper fractions.
1 1/2 = 3/2
2 9/10 = 29/10 - Multiply the numerators together: 3 x 29 = 87
- Multiply the denominators together: 2 x 10 = 20
- Simplify the fraction, if possible. In this case, the fraction is already simplified.
- Write the final answer as a mixed number, if necessary.
- In this case, the fraction can be simplified to 87/20 or 4 7/20.