fill in the missing fractions to create a true equation.
_/5-1/2=3/_
To fill in the missing fractions and create a true equation, we need to find equivalent fractions that have a common denominator.
Let's find the common denominator for 5 and 2, which is 10.
_/5 can be rewritten as _/10 by multiplying the numerator and denominator by 2.
So, the equation becomes _/10 - 1/2 = 3/_.
Now, let's find a fraction that is equivalent to 3/10 by multiplying the numerator and denominator by a suitable number.
Since 2 multiplied by 5 is 10, we can multiply both the numerator and denominator of 3/10 by 2 to get 6/20.
The complete equation is _/10 - 1/2 = 3/20.
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.
To fill in the missing fractions and create a true equation, we need to find the values that satisfy the equation. Let's break down the problem step by step:
Step 1: Let's find the missing fraction on the left side of the equation:
To subtract fractions, we need a common denominator. The least common denominator (LCD) of 5 and 2 is 10.
_/5 - 1/2 = (_ * 2/2 - 1 * 5/5) / 10
Simplifying the fractions:
_/5 - 1/2 = (_ * 2/2 - 5/5) / 10
_/5 - 1/2 = (_ * 2 - 5) / 10
Next, we can simplify further:
_/5 - 1/2 = (_ * 2 - 5) / 10
Step 2: Let's find the missing fraction on the right side of the equation:
Since the right side of the equation is given as 3/_, we already have a numerator (3). To find the denominator, we need to determine what fraction divided by 10 equals 3. To do this:
3/_ = 3/1 * 1/_ = 3/1 * 1/10 = 3/10
Therefore, the missing fraction on the right side of the equation is 3/10.
_/5 - 1/2 = 3/10