Question

7-3/5+2 7/9;5 2/7-1/3+6;9+1 3/4-2/5;3 5/12-4/5+31/60

Answer 1

7-3:5+27:9=7-0,6+3=9,4
2:7-1:3+6=0,3-0,3+6=6
9+13:4-2:5=9+3,3-0,4=11,9
5:12-4:5+31:60=0,4-0,8+0,5=0,1

Answer 2

To calculate the given expression, let's break it down step by step:

Expression 1: 7 - 3/5 + 2 + 7/9 To begin, let's simplify the subtraction: 7 - 3/5 = 35/5 - 3/5 = 32/5. Now, let's add the remaining terms: 32/5 + 2 + 7/9. To add fractions, we need to find a common denominator. The least common multiple of 5 and 9 is 45. Converting all the fractions to have a denominator of 45, we get: (32/5) * (9/9) = 288/45, 2 * (45/45) = 90/45, and (7/9) * (5/5) = 35/45. Now, we can add the fractions: 288/45 + 90/45 + 35/45 = (288 + 90 + 35) / 45 = 413/45.

Expression 2: 5 + 2/7 - 1/3 + 6 Let's start by adding the whole numbers: 5 + 6 = 11. Now, let's add the fractions: 2/7 - 1/3. To add fractions, we need to find a common denominator. The common denominator for 7 and 3 is 21. Converting the fractions to have a denominator of 21, we get: (2/7) * (3/3) = 6/21 and (1/3) * (7/7) = 7/21. Now, we can subtract the fractions: 6/21 - 7/21 = (6 - 7) / 21 = -1/21. Finally, we add the whole number and the fraction: 11 + (-1/21) = 11 - 1/21 = 230/21 - 1/21 = 229/21.

Expression 3: 9 + 1 + 3/4 - 2/5 First, let's add the whole numbers: 9 + 1 = 10. Now, let's add the fractions: 3/4 - 2/5. To add fractions, we need to find a common denominator. The least common multiple of 4 and 5 is 20. Converting the fractions to have a denominator of 20, we get: (3/4) * (5/5) = 15/20 and (2/5) * (4/4) = 8/20. Now, we can subtract the fractions: 15/20 - 8/20 = (15 - 8) / 20 = 7/20. Finally, we add the whole number and the fraction: 10 + 7/20 = 200/20 + 7/20 = 207/20.

Expression 4: 3 + 5/12 - 4/5 + 31/60 First, let's add the whole numbers: 3 + 0 = 3. Now, let's add the fractions: 5/12 - 4/5 + 31/60. To add fractions, we need to find a common denominator. The least common multiple of 12, 5, and 60 is 60. Converting the fractions to have a denominator of 60, we get: (5/12) * (5/5) = 25/60, (4/5) * (12/12) = 48/60, and (31/60) * (1/1) = 31/60. Now, we can add the fractions: 25/60 - 48/60 + 31/60 = (25 - 48 + 31) / 60 = 8/60. Finally, we add the whole number and the fraction: 3 + 8/60 = 180/60 + 8/60 = 188/60.

To summarize: Expression 1: 7 - 3/5 + 2 + 7/9 = 413/45 Expression 2: 5 + 2/7 - 1/3 + 6 = 229/21 Expression 3: 9 + 1 + 3/4 - 2/5 = 207/20 Expression 4: 3 + 5/12 - 4/5 + 31/60 = 188/60

Please note that the answers are given as fractions in their simplest form. If you prefer decimal approximations, you can convert the fractions to decimals.