Question

((1/3+7/9-5/12)*(1-16/25))

Answer 1

=10/9-5/12=120/108-45/108=65/108×9/25=13/60

Answer 2

To simplify the expression ((1/3 + 7/9 - 5/12) * (1 - 16/25)), follow these steps:

Step 1: Simplify the fractions inside the parentheses:

• 1/3 can stay as it is because it's already in its simplest form.
• 7/9 can also stay as it is because it's already in its simplest form.
• 5/12 can be simplified. To do this, find a common denominator for all fractions, which is 36 in this case, and rewrite 5/12 as (5/12) * (3/3) = 15/36.

Now the expression becomes ((1/3 + 7/9 - 15/36) * (1 - 16/25)).

Step 2: Continue simplifying inside the parentheses:

• 1/3 remains the same.
• 7/9 can be simplified by finding a common denominator with 36, which is 4/4, so (7/9) * (4/4) = 28/36.
• 15/36 remains the same.

Now the expression becomes ((1/3 + 28/36 - 15/36) * (1 - 16/25)).

Step 3: Further simplify inside the parentheses:

• 1/3 remains the same.
• 28/36 - 15/36 = 13/36.

Now the expression becomes ((1/3 + 13/36) * (1 - 16/25)).

Step 4: Continue simplifying inside the parentheses:

• 1/3 remains the same.
• 1 - 16/25 = (25/25) - (16/25) = 9/25.

Now the expression becomes ((1/3 + 13/36) * (9/25)).

Step 5: Multiply the fractions:

• (1/3) * (13/36) = 13/108.

Now the expression becomes ((13/108) * (9/25)).

Step 6: Multiply the fractions:

• (13/108) * (9/25) = (13 * 9) / (108 * 25) = 117/2700.

Step 7: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 9:

• (117/9) / (2700/9) = 13/300.

So, the simplified result of the expression ((1/3 + 7/9 - 5/12) * (1 - 16/25)) is 13/300.