Question

13/15+(3 2/15-4/15) (5 2/7-1 6/7)+2 5/7

Answer 1

13/15 + (3 2/15 - 4/15) = (13/15 + 3 2/15) - 4/15 = 3 15/15 - 4/15 = 3 11/15

(5 2/7 - 1 6/7) + 2 5/7 = (5 2/7 + 2 5/7) - 1 6/7 = 7 7/7 - 1 6/7 = 6 1/7

Answer 2

To solve the expression, follow the order of operations (PEMDAS/BODMAS):

P: Parentheses first E: Exponents (if any) MD: Multiplication and Division from left to right AS: Addition and Subtraction from left to right

Let's solve the expression step by step:

Step 1: Deal with the parentheses first. 3 2/15 - 4/15 = (3 * 15 + 2) / 15 - 4/15 = (47 / 15) - (4 / 15) = 43 / 15

5 2/7 - 1 6/7 = (5 * 7 + 2) / 7 - (1 * 7 + 6) / 7 = (37 / 7) - (13 / 7) = 24 / 7

Step 2: Now, the expression becomes: 13/15 + (43/15) * (24/7) + 2 5/7

Step 3: Next, perform the multiplication: (43/15) * (24/7) = (43 * 24) / (15 * 7) = 1032 / 105

Step 4: Now, the expression becomes: 13/15 + 1032/105 + 2 5/7

Step 5: Convert the whole numbers into fractions: 2 5/7 = (2 * 7 + 5) / 7 = 19 / 7

Step 6: Now, the expression becomes: 13/15 + 1032/105 + 19/7

Step 7: Find a common denominator to add the fractions together. The common denominator for 15, 105, and 7 is 105. Convert all fractions to have the denominator of 105.

13/15 = (13 * 7) / (15 * 7) = 91 / 105 1032/105 remains the same. 19/7 = (19 * 15) / (7 * 15) = 285 / 105

Step 8: The expression becomes: 91/105 + 1032/105 + 285/105

Step 9: Add the fractions together: (91 + 1032 + 285) / 105 = 1408 / 105

Step 10: Simplify the fraction, if possible: 1408 ÷ 105 = 13 remainder 53 So, 1408 / 105 = 13 53/105

The final result of the expression is 13 53/105.