Solve for t: 15 3/4 = t + 4 5/8
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I don't understand how to solve for t.
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Is this right? t = 261/8
No.
Subtract 4 5/8 from each side.
To solve for t in the equation 15 3/4 = t + 4 5/8, we need to combine the whole numbers and fractions separately.
First, let's add the whole numbers:
15 + 4 = 19
Now, let's add the fractions separately:
3/4 + 5/8 = (3 * 2)/(4 * 2) + 5/8 = 6/8 + 5/8 = 11/8
Since we have a mixed number on the left side of the equation, we need to convert the fraction to a mixed number as well.
11/8 is equivalent to 1 3/8, which means 11/8 is equal to 1 + 3/8.
So the equation can be rewritten as:
19 = t + 1 3/8
Now, we want to isolate t. To do this, we subtract 1 3/8 from both sides of the equation:
19 - 1 3/8 = t + 1 3/8 - 1 3/8
The right side of the equation simplifies to:
1 3/8 - 1 3/8 = 0, as the fractions cancel out.
The left side of the equation simplifies to:
19 - 1 - 3/8 = 18 - 3/8 = 17 5/8
So, the equation becomes:
17 5/8 = t + 0
Since any number plus zero remains the same, we can conclude that:
17 5/8 = t
Therefore, t is equal to 17 5/8.