Question

4 5/1+(5 1/2-3 4/21)=

Answer 1

$9 + (5 \frac{1}{2} - 3 \frac{4}{21} ) = \\ \\ = 9 + (5 \frac{21}{42} - 3 \frac{8}{42} ) = \\ \\ = 9 + 2 \frac{13}{42} = 11 \frac{13}{42}$

Answer 2

To solve the expression, we need to perform the operations step by step, following the order of operations (PEMDAS: Parentheses, Exponents, Multiplication, and Division, from left to right, then Addition and Subtraction from left to right):

1. Perform the subtraction inside the parentheses: 5 1/2 - 3 4/21 Convert both mixed numbers to improper fractions: 5 1/2 = (5 * 2 + 1) / 2 = 11 / 2 3 4/21 = (3 * 21 + 4) / 21 = 67 / 21

   Now, subtract: (11 / 2) - (67 / 21) To subtract fractions, find a common denominator, which is 42 in this case: (11 / 2) * (21 / 21) - (67 / 21) * (2 / 2) (11 * 21 - 67 * 2) / 42 (231 - 134) / 42 97 / 42

2. Add the result from step 1 to 4 5/1: Convert 4 5/1 to an improper fraction: 4 5/1 = (4 * 1 + 5) / 1 = 9 / 1

   Now, add: (9 / 1) + (97 / 42) To add fractions, find a common denominator, which is 42 in this case: (9 / 1) * (42 / 42) + (97 / 42) (9 * 42 + 97) / 42 (378 + 97) / 42 475 / 42

3. Simplify the fraction (if possible): 475 / 42 is an improper fraction, and we can simplify it by finding the greatest common divisor (GCD) of the numerator and denominator, which is 5 in this case: (475 ÷ 5) / (42 ÷ 5) 95 / 8

So, the final result of the expression is 95/8.