Question

5/9 + 1/3 3 3/7:2 2/5 (6/25-1/5)*5/6

Answer 1

1)5/9+1/3=8/9
2)3 3/7:2 2/5=9/35
3)(6/25-1/5)x5/6=2/33

Answer 2

To solve this expression, let's break it down step by step:

1. First, calculate 5/9 + 1/3: (5/9) + (1/3) = (5/9) + (3/9) = 8/9

2. Next, simplify 3 3/7 divided by 2 2/5: To simplify this, first convert the mixed numbers to improper fractions. 3 3/7 = (7 * 3 + 3)/7 = 24/7 2 2/5 = (5 * 2 + 2)/5 = 12/5

   Now, divide 24/7 by 12/5. To divide fractions, multiply the first fraction by the reciprocal of the second fraction: (24/7) / (12/5) = (24/7) * (5/12) = (24 * 5) / (7 * 12) = 120/84

   You can simplify 120/84 by finding the greatest common divisor (GCD) of 120 and 84, which is 12. Divide both the numerator and denominator by 12 to simplify: (120/12) / (84/12) = 10/7

3. Finally, calculate (6/25 - 1/5) * 5/6: First, simplify the expression within the parentheses: (6/25 - 1/5) = (6/25 - 5/25) = 1/25

   Now, multiply 1/25 by 5/6: (1/25) * (5/6) = (1 * 5) / (25 * 6) = 5/150

   Simplify 5/150 by finding the GCD of 5 and 150, which is 5. Divide both the numerator and denominator by 5 to simplify: (5/5) / (150/5) = 1/30

So, the final result is 8/9 - 10/7 * 1/30. You can now calculate this expression:

First, calculate 10/7 * 1/30: (10/7) * (1/30) = (10/210)

Now, subtract this result from 8/9: (8/9) - (10/210)

To subtract fractions, you need a common denominator. In this case, the common denominator is 210. Adjust the fractions accordingly:

(8/9) - (10/210) = (8/9) - (1/21)

Now, subtract the fractions:

(8/9) - (1/21)

To subtract these fractions, you need a common denominator, which is 63. Adjust the fractions accordingly:

(56/63) - (3/63)

Now, subtract the fractions:

(56/63) - (3/63) = 53/63

So, the final result of the expression is 53/63, which can be simplified to 17/21.