Which of the following ratios is equivalent to 3/2
The equivalent fraction for 3/2 is:
6/4
Rubio decides he is going to walk to his friend's house, which is 1 mile from his house. He can walk at a pace of 7 mile in 16 minutes. At this rate, how long will it take him to get to his friend's house? (1 point)
To determine which ratio is equivalent to 3/2, you need to find ratios with the same value. Here is the step-by-step process:
1. Begin by selecting one of the ratios: 6/4.
2. Simplify 6/4 by dividing both the numerator and denominator by their greatest common divisor, which is 2.
6 ÷ 2 = 3
4 ÷ 2 = 2
Therefore, 6/4 is equivalent to 3/2.
So, the ratio 3/2 is equivalent to 6/4.
To find an equivalent ratio to 3/2, we need to multiply or divide the numerator and denominator by the same non-zero number. This maintains the ratio's value while changing its form.
Let's consider the following options:
1. 6/4: To get this ratio, we multiplied both the numerator and denominator of 3/2 by 2.
Explanation: When we multiply both the numerator and denominator of a fraction by the same number, we multiply the overall value by 1 (since any number divided by itself equals 1). In this scenario, multiplying 3/2 by 2 gives us (3*2) / (2*2), which simplifies to 6/4.
2. 9/6: Again, by multiplying both the numerator and denominator of 3/2 by 3, we obtain this ratio.
Explanation: Similar to the previous example, multiplying 3/2 by 3 gives us (3*3) / (2*3), which simplifies to 9/6.
3. 12/8: Once more, multiplying both the numerator and denominator of 3/2 by 4 results in this ratio.
Explanation: By multiplying 3/2 by 4, we get (3*4) / (2*4), which simplifies to 12/8.
So, the equivalent ratios to 3/2 are 6/4, 9/6, and 12/8.