blank + 1/2 = 1 2/3
im trying to figure out the blank
blank + 3/6 = 1 4/6
x+1/2 = 1 2/3.
x+1/2 = 5/3
X = 5/3-1/2 = 10/6-3/6 = 7/6 = 1 1/6.
To find the value of the blank, you need to isolate it on one side of the equation. Here's how you can solve it step by step:
1. Start with the equation: blank + 1/2 = 1 2/3
2. To simplify the mixed number on the right side of the equation (1 2/3), convert it to an improper fraction. To do this, multiply the whole number (1) by the denominator (3) and add the numerator (2). Then, write the result over the denominator: 1 * 3 + 2 = 5/3.
The equation now becomes: blank + 1/2 = 5/3
3. To simplify the equation further, subtract 1/2 from both sides of the equation to move it to the other side:
blank + 1/2 - 1/2 = 5/3 - 1/2
After simplifying, this becomes:
blank = 5/3 - 1/2
4. To subtract the fractions, it's helpful to have a common denominator. The least common multiple (LCM) of 3 and 2 is 6. Multiply the numerator and denominator of 5/3 by 2, and multiply the numerator and denominator of 1/2 by 3:
blank = (5 * 2) / (3 * 2) - (1 * 3) / (2 * 3)
Simplifying further:
blank = 10/6 - 3/6
5. Now that you have a common denominator (6), subtract the numerators:
blank = (10 - 3) / 6
Simplifying further:
blank = 7/6
Therefore, the value of the blank is 7/6.