Final answer:
To simplify the mixed number 77 4/16 to its lowest terms, convert it to a fraction and find the greatest common divisor (GCD) to simplify the fraction.
Step-by-step explanation:
To simplify the mixed number 77 4/16 to its lowest terms, we first convert the whole number to a fraction by multiplying it by the denominator of the fraction part:
77 4/16 = (77 × 16 + 4)/16 = 1236/16
Next, we can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 1236 and 16 is 4:
1236/16 = (1236 ÷ 4)/(16 ÷ 4) = 309/4
So, the simplified form of 77 4/16 is 309/4.
Learn more about simplifying mixed numbers