Multiply; then reduce to lowest terms. 5 1/2.3/4
To multiply 5 1/2 by 3/4, you need to convert the mixed number into improper fractions.
To convert 5 1/2 into an improper fraction, you multiply the whole number (5) by the denominator (2) and add the numerator (1). This gives you the numerator of the improper fraction, which is 11. The denominator remains the same, which is 2. Therefore, 5 1/2 as an improper fraction is 11/2.
Now, you can multiply the two fractions:
(11/2) * (3/4)
To multiply fractions, you simply multiply the numerators together and multiply the denominators together:
(11 * 3) / (2 * 4) = 33/8
Now, you have the product of the two fractions, which is 33/8.
To reduce the fraction to its lowest terms, you can find the greatest common divisor (GCD) of the numerator and denominator and divide both by that number. In this case, the GCD of 33 and 8 is 1.
Therefore, the fraction 33/8 cannot be reduced any further.