multiply the fraction 4/27 by the fraction 3/16, and reduce your answer to the lowest terms

4 * 3 = 12

27 * 16 = 432

Divide both numerator and denominator by 12.

4 / 27 * 3 / 16 =

4 / ( 9 * 3 ) * 3 / ( 4 * 4 ) =

1 / 9 * 1 / 4 = 1 / 36

To multiply fractions, you need to multiply the numerators (top numbers) and denominators (bottom numbers) together. In this case, you need to multiply 4/27 by 3/16.

Step 1: Multiply the numerators: 4 x 3 = 12.
Step 2: Multiply the denominators: 27 x 16 = 432.
Step 3: Place the product of the numerators over the product of the denominators: 12/432.

To reduce the fraction to its lowest terms, you need to find the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 12 and 432 is 12. Divide both the numerator and the denominator by 12.

Step 4: Divide the numerator and the denominator by the GCD (12 in this case): 12/12 รท 432/12.
Step 5: Simplify the fraction: 1/36.

Therefore, the product of 4/27 and 3/16, reduced to the lowest terms, is 1/36.