Question

4 5/39-(t+1 7/26)=2 3/13

Answer 1

4 10/78-t-1 21/78-2 18/78=0,
t=4-1-2+10/78-21/78-18/78,
t=78/78-29/78,
t=49/78.

Answer 2

To solve the equation 4 + 5/39 - (t + 1 + 7/26) = 2 + 3/13, we can follow these steps:

1. Simplify both sides of the equation by combining like terms and performing the necessary operations. 2. Solve for the variable t.

Let's go through the steps:

Step 1: Simplify the equation

On the left side of the equation, we have 4 + 5/39 - (t + 1 + 7/26). To simplify this expression, we need to distribute the negative sign inside the parentheses:

4 + 5/39 - t - 1 - 7/26

Next, we can combine the constants and fractions:

3 - t + (5/39 - 7/26)

To add the fractions, we need a common denominator. The least common multiple of 39 and 26 is 78. Let's convert the fractions to have a denominator of 78:

3 - t + (5/39 * 2/2 - 7/26 * 3/3) 3 - t + (10/78 - 21/78)

Now, we can combine the fractions:

3 - t + (-11/78)

Step 2: Solve for t

Now that we have simplified the equation to 3 - t + (-11/78) = 2 + 3/13, we can solve for t. To isolate t, we need to move the constants to the other side of the equation:

-t - 11/78 = 2 + 3/13 - 3

Simplifying the right side:

-t - 11/78 = 2 + (3/13 * 78/78) - 3 -t - 11/78 = 2 + 234/1014 - 3 -t - 11/78 = 2 + 234/1014 - 303/1014

Combining the fractions:

-t - 11/78 = (2 + 234 - 303)/1014 -t - 11/78 = (2 - 69)/1014

Simplifying the right side:

-t - 11/78 = -67/1014

To isolate t, we can multiply both sides of the equation by -1:

t + 11/78 = 67/1014

Finally, subtract 11/78 from both sides:

t = 67/1014 - 11/78

To simplify the right side, we need a common denominator. The least common multiple of 1014 and 78 is 39708. Let's convert the fractions to have a denominator of 39708:

t = (67/1014 * 39/39) - (11/78 * 509/509) t = 2613/39708 - 5599/39708

Now, we can subtract the fractions:

t = (2613 - 5599)/39708 t = -2986/39708

The final simplified solution for t is -2986/39708.

Please note that the above solution is based on the given equation. If there was a mistake in the equation or any other context is missing, please let me know and I'll be happy to assist you further.