Solve; multiply; then reduce to lowest terms 5 1/2 * 3/4
33/8
To multiply 5 1/2 by 3/4 and reduce the result to the lowest terms, follow these steps:
Step 1: Convert the mixed number 5 1/2 to an improper fraction:
5 1/2 = (5 * 2 + 1) / 2 = 11/2
Step 2: Multiply the numerators together:
11/2 * 3/4 = 33/8
Step 3: Multiply the denominators together:
2 * 4 = 8
Step 4: Simplify the resulting fraction by dividing the numerator and denominator by their greatest common divisor:
The greatest common divisor of 33 and 8 is 1. Divide both the numerator and denominator by 1:
33/8 ÷ 1/1 = 33/8
So, the final answer, after multiplying and reducing to the lowest terms, is 33/8.
To solve the multiplication problem 5 1/2 multiplied by 3/4 and reduce it to the lowest terms, you can follow these steps:
Step 1: Convert the mixed number 5 1/2 to an improper fraction.
5 1/2 = (5 × 2 + 1) / 2 = 11/2
Step 2: Multiply the numerators together and the denominators together.
11/2 * 3/4 = (11 * 3) / (2 * 4) = 33/8
Step 3: To reduce the fraction to the lowest terms, find the greatest common divisor (GCD) of the numerator and denominator, then divide both by the GCD.
The GCD of 33 and 8 is 1, so the fraction is already in its lowest terms.
Therefore, 5 1/2 multiplied by 3/4, when reduced to lowest terms, is equal to 33/8.