Respuesta :
Answer: 7 1/2
Step-by-step explanation:
To find out how many times 1/2 goes into 3 3/4, we can convert the mixed number 3 3/4 into an improper fraction.
To convert the mixed number 3 3/4 into an improper fraction, we multiply the whole number (3) by the denominator (4) and add the numerator (3) to get the new numerator. So, 3 3/4 can be written as (3 * 4 + 3)/4, which simplifies to 15/4.
Now, we can divide 15/4 by 1/2 to find out how many times 1/2 goes into 3 3/4.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/2 is 2/1. So, we have (15/4) * (2/1).
To multiply fractions, we multiply the numerators together to get the new numerator, and we multiply the denominators together to get the new denominator.
So, (15/4) * (2/1) = (15 * 2)/(4 * 1) = 30/4.
Now, we simplify the resulting fraction. Both the numerator and denominator are divisible by 2.
30/4 can be simplified to (30/2)/(4/2) = 15/2.
Therefore, 1/2 goes into 3 3/4 a total of 15/2 times, or 7 1/2 times.
