Final answer:
Hanna can use the multiplication equation 2 x 4 = 8 to solve 2 divided by 1/4.
Step-by-step explanation:
To solve this problem, Hanna needs to understand the concept of dividing by a fraction. When dividing by a fraction, it is equivalent to multiplying by its reciprocal. In this case, the reciprocal of 1/4 is 4/1. This means that Hanna needs to multiply 2 by 4/1, which gives her the answer of 8.
To understand why this works, let's break down the steps and look at the calculations involved. In the first step, we convert the division problem into a multiplication problem by changing the division sign to a multiplication sign. This gives us 2 x 1/4.
Next, we need to find the reciprocal of 1/4, which is 4/1. We then multiply 2 by 4/1, which gives us 8/1. This means that 2 divided by 1/4 is equal to 8/1, or simply 8.
In multiplication, when we multiply a whole number by a fraction, we can think of it as multiplying the whole number by the numerator and then dividing by the denominator. In this case, 2 x 4/1 can be thought of as (2 x 4) / 1, which simplifies to 8 / 1.
Overall, the multiplication equation that Hanna can use to solve 2 divided by 1/4 is 2 x 4 = 8. This equation is derived from the concept of dividing by a fraction and using its reciprocal in multiplication. With practice, Hanna will be able to solve similar problems quickly and accurately.