Question

4/9+3/8+2/7+5/7+5/8+5/9

Answer 1

4/9+5/9=1

3/8+5/8=1

2/7+5/7=1

1+1+1=3

Answer 2

To add these fractions, you need to find a common denominator and then sum the numerators. Here's the step-by-step solution:

Step 1: Find the common denominator, which is the least common multiple (LCM) of the denominators 9, 8, and 7.

The LCM of 9, 8, and 7 is 504.

Step 2: Convert each fraction to have a denominator of 504.

4/9 = (4 * 56)/(9 * 56) = 224/504 3/8 = (3 * 63)/(8 * 63) = 189/504 2/7 = (2 * 72)/(7 * 72) = 144/504 5/7 = (5 * 72)/(7 * 72) = 360/504 5/8 = (5 * 63)/(8 * 63) = 315/504 5/9 = (5 * 56)/(9 * 56) = 280/504

Step 3: Add all the fractions together:

224/504 + 189/504 + 144/504 + 360/504 + 315/504 + 280/504

Step 4: Combine the fractions:

(224 + 189 + 144 + 360 + 315 + 280) / 504

Step 5: Sum the numerators:

(1512) / 504

Step 6: Simplify the fraction (if possible):

1512 ÷ 504 = 3

So, the result of the expression 4/9 + 3/8 + 2/7 + 5/7 + 5/8 + 5/9 is 3.