Question

fill in the missing fractions to create a true equation.

_/5-1/2=3/_

Answer 1

In order to make the equation true, we need to find fractions that can replace the missing fractions in the equation _/5 - 1/2 = 3/_.

Looking at the denominator (the bottom number) in the first fraction, we can see that it is 5. Therefore, we need to find a fraction with 5 as its denominator that is equivalent to 1/2, since 1/2 is missing in the equation.

To find an equivalent fraction, we multiply the numerator and denominator of 1/2 by the same number. Let's choose 2.

1/2 * 2/2 = 2/4

Now, we can replace the missing fraction 1/2 with the equivalent fraction 2/4.

_/5 - 2/4 = 3/_

Next, let's examine the numerator (the top number) of the second fraction. We can see that it is 3. Therefore, we need to find a fraction with 3 as its numerator that is equivalent to 2/4, since 2/4 is missing in the equation.

To find an equivalent fraction, we multiply the numerator and denominator of 2/4 by the same number. Let's choose 3.

2/4 * 3/3 = 6/12

Now, we can replace the missing fraction 2/4 with the equivalent fraction 6/12.

_/5 - 2/4 = 3/6

Our equation now becomes:

_/5 - 2/4 = 3/6

To solve the equation further, we need to find a common denominator for 5, 4, and 6, and then simplify.