Multiplying Mixed Numbers: 1 1/2 x 3 1/2
This article will guide you through the steps of multiplying mixed numbers, using the example of 1 1/2 x 3 1/2.
Step 1: Convert Mixed Numbers to Improper Fractions
- 1 1/2 becomes 3/2 (multiply the whole number by the denominator and add the numerator, keeping the same denominator)
- 3 1/2 becomes 7/2
Step 2: Multiply the Fractions
- (3/2) x (7/2) = (3 x 7) / (2 x 2) = 21/4
Step 3: Convert the Improper Fraction Back to a Mixed Number
- 21/4 is equal to 5 1/4 (divide the numerator by the denominator, the quotient is the whole number, the remainder is the numerator of the fraction, and the denominator stays the same)
Therefore, 1 1/2 x 3 1/2 = 5 1/4
Key Takeaways:
- When multiplying mixed numbers, first convert them to improper fractions.
- Then, multiply the numerators and denominators of the fractions.
- Finally, convert the resulting improper fraction back to a mixed number.