Question

(7/16 - 5/12)+(5/6-7/24)

Answer 1

Ответ:27/48

Пошаговое объяснение:1)7/16-5/12=21/48-20/48=1/48 2)5/6-7/24=20/24-7/24=13/24 3)1/48+13/24=1/48+26/48=27/48

Answer 2

To add the two fractions, first, find a common denominator for both fractions, then combine the numerators. The common denominator for both fractions is 24. Here's the step-by-step calculation:

(7/16 - 5/12) + (5/6 - 7/24)

Step 1: Find a common denominator of 24.

Step 2: Convert each fraction to have a denominator of 24.

For the first fraction (7/16 - 5/12):

To convert 7/16 to have a denominator of 24, multiply both the numerator and denominator by (24/16): (7/16) * (24/16) = (7 * 24) / (16 * 16) = 168/256

To convert 5/12 to have a denominator of 24, multiply both the numerator and denominator by (24/12): (5/12) * (24/12) = (5 * 24) / (12 * 12) = 120/144

The first fraction becomes: 168/256 - 120/144

For the second fraction (5/6 - 7/24):

To convert 5/6 to have a denominator of 24, multiply both the numerator and denominator by (24/6): (5/6) * (24/6) = (5 * 24) / (6 * 6) = 120/36

To convert 7/24 to have a denominator of 24, multiply both the numerator and denominator by (24/24): (7/24) * (24/24) = (7 * 24) / (24 * 24) = 168/576

The second fraction becomes: 120/36 - 168/576

Step 3: Combine the numerators:

168/256 - 120/144 + 120/36 - 168/576

Step 4: Add the fractions:

Now, the fractions have a common denominator of 24, and we can simply combine the numerators:

(168 - 120 + 120 - 168) / 256 = 0/256 = 0

The final result is 0.