Question

3/4+(5/8+t)=11/12+7/8

Answer 1

3/4+(5/8+t)=22/24+21/24
3/4+(5/8+ t)=43/24
5/8+ t=43/24-3/4
5/8+ t=43/24-18/24
5/8+ t=25/24
t=25/24-5/8
t=25/24-15/24
t=10/24
t=5/12

Answer 2

6/8+5/8+т=22/24+21/24
т=43/24-33/24=10/24=5/12

Answer 3

To solve for t in the equation 3/4 + (5/8 + t) = 11/12 + 7/8, you can follow these steps:

Step 1: Combine the fractions on both sides of the equation:

3/4 + 5/8 + t = 11/12 + 7/8

Step 2: Find a common denominator for the fractions on both sides. In this case, the common denominator can be 24.

12 and 8 both go into 24, so we need to convert the fractions on the right side to have a denominator of 24:

3/4 + 5/8 + t = (11/12 * 2/2) + (7/8 * 3/3)

This gives us:

3/4 + 5/8 + t = 22/24 + 21/24

Step 3: Simplify the fractions with the common denominator:

3/4 + 5/8 + t = (22 + 21)/24 3/4 + 5/8 + t = 43/24

Step 4: Subtract 3/4 and 5/8 from both sides of the equation to isolate 't':

3/4 + 5/8 + t - 3/4 - 5/8 = 43/24 - 3/4 - 5/8

This simplifies to:

t = 43/24 - 3/4 - 5/8

Step 5: Continue simplifying:

t = (43/24) - (18/24) - (15/24)

Now, subtract the fractions:

t = (43 - 18 - 15) / 24

t = 10/24

Step 6: Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

t = (10/2) / (24/2)

t = 5/12

So, the solution for t is t = 5/12.