Question

13 1/14-(3 5/21+4 6/7

Answer 1

13 1/14-(3 5/21+4 6/7)=4 41/42

1)3 5/21+ 4 6/7=3 5/21+ 4 18/21=8 2/21
2)13 1/14-8 2/21=13 3/42-8 4/42=4 41/42

Answer 2

1)3 5/21+ 4 6/7=3 5/21+ 4 18/21=8 2/21
2)13 1/14-8 2/21=13 3/42-8 4/42=4 41/42

Answer 3

To simplify this expression, we'll perform the operations step by step. The expression is:

13 1/14 - (3 5/21 + 4 6/7)

Step 1: Convert Mixed Numbers to Improper Fractions 13 1/14 = (14 * 13 + 1) / 14 = 183 / 14 3 5/21 = (21 * 3 + 5) / 21 = 68 / 21 4 6/7 = (7 * 4 + 6) / 7 = 34 / 7

Step 2: Add the Fractions Inside the Parentheses 3 5/21 + 4 6/7 = 68 / 21 + 34 / 7

Step 3: Find a Common Denominator for the Fractions The least common multiple of 21 and 7 is 21. So, we'll convert both fractions to have a common denominator of 21.

68 / 21 + 34 / 7 = (68 * 1) / 21 + (34 * 3) / 21 = 68 / 21 + 102 / 21 = (68 + 102) / 21 = 170 / 21

Step 4: Subtract the Sum Inside the Parentheses from the Whole Number 183 / 14 - 170 / 21

Step 5: Find a Common Denominator for the Fractions The least common multiple of 14 and 21 is 42. So, we'll convert both fractions to have a common denominator of 42.

183 / 14 = (183 * 3) / 42 = 549 / 42

170 / 21 = (170 * 2) / 42 = 340 / 42

Step 6: Subtract the Fractions 549 / 42 - 340 / 42 = (549 - 340) / 42 = 209 / 42

Step 7: Simplify the Fraction The greatest common divisor of 209 and 42 is 1. Divide both the numerator and the denominator by 1 to simplify the fraction.

209 / 42 = 209 / 42

So, the simplified result of the expression is 209 / 42.