Question

10 5/14-(3 5/14+29/34)

Answer 1

$10 \frac{5}{14} - ( 3 \frac{5}{14} + \frac{29}{34} ) \\ \\ 5 \frac{5}{7} - ( \frac{15}{14} + \frac{29}{34} ) \\ \\ \frac{255 + 203}{238} = \frac{458}{238} = \frac{229}{119} \\ \\ \frac{25}{7} - \frac{229}{119} \\ \\ \frac{425 - 229}{119} = \frac{196}{119} = \frac{28}{17} .$

Answer 2

To solve the expression, you'll need to perform the operations in the correct order: first, deal with the parentheses, then perform the subtraction and addition.

Step 1: Simplify inside the parentheses: 3 5/14 + 29/34

Step 2: Convert the whole numbers to fractions for easier computation: 3 5/14 = (3 * 14 + 5)/14 = 47/14

Step 3: Find a common denominator for 47/14 and 29/34, which is 14 * 34 = 476.

Step 4: Convert the fractions to have a denominator of 476: 47/14 * 34/34 = 1598/476 29/34 * 14/14 = 406/476

Now the expression becomes: 10 5/14 - (1598/476 + 406/476)

Step 5: Find a common denominator for 5/14, 1598/476, and 406/476, which is 476.

Step 6: Convert the fractions to have a denominator of 476: 5/14 * 34/34 = 170/476 1598/476 = 1598/476 406/476 = 406/476

Now the expression becomes: 10 170/476 - (1598/476 + 406/476)

Step 7: Perform the addition inside the parentheses: 1598/476 + 406/476 = 2004/476

Now the expression becomes: 10 170/476 - 2004/476

Step 8: Find a common denominator for 170/476 and 2004/476, which is 476.

Step 9: Convert the fractions to have a denominator of 476: 170/476 = 170/476 2004/476 = 2004/476

Now the expression becomes: 10 170/476 - 2004/476

Step 10: Perform the subtraction: 10 - 2004/476 = 4760/476 - 2004/476 = (4760 - 2004)/476 = 2756/476

Finally, simplify the mixed number: 2756/476 = 5 396/476 = 5 169/238

The final answer is 5 169/238.