Question

1) (7/8-1/4)-5/12 2) (5/9-1/3)-1/6 3) (13/18-1/4)-4/9 4) (3/4-5/12)-1/5 5) (7/10-2/15)-1/6 6) (17/18-5/12)-2/9

Answer 1

1)(7/8-1/4)-5/12 =5/24
1) 7/8-1/4=7/8-2/8=5/8
2) 5/8-5/12=30/48-20/48=10/48=5/24

2)(5/9-1/3)-1/6=1/18
1) 5/9-1/3=5/9-3/9=2/9
2) 2/9-1/6=12/54-9/54=3/54=1/18

3)(13/18-1/4)-4/9=1/36
1) 13/18-1/4=26/36-9/36=17/36
2) 17/36-4/9=17/36-16/36=1/36

4) (3/4-5/12)-1/5=4/15
1) 3/4-5/12=9/12-5/12=4/12
2)4/12-1/5=20/60-12/60=8/60=4/15

5)(7/10-2/15)-1/6=6/15
1) 7/10-2/15=21/30-4/30=17/30
2) 17/30-1/6=17/30-5/30=12/30=6/15

6)(17/18-5/12)-2/9=11/36
1) 17/18-5/12=34/36-15/36=19/36
2) 19/36-2/9=19/36-8/36=11/36

Answer 2

1) 1,25
2) 3/56
3) 1/36
4) 7,5
5) 0,4
6) 11/36

Answer 3

To simplify each of these expressions, follow these steps:

1. (7/8 - 1/4) - 5/12:

First, simplify the fractions in the parentheses: (7/8 - 1/4) = (7/8 - 2/8)

Now, subtract the fractions: (7/8 - 2/8) = 5/8

Finally, subtract 5/12 from 5/8: (5/8 - 5/12)

To subtract fractions, find a common denominator, which in this case is 24: (15/24 - 10/24) = 5/24

2. (5/9 - 1/3) - 1/6:

First, simplify the fractions in the parentheses: (5/9 - 1/3) = (5/9 - 3/9)

Now, subtract the fractions: (5/9 - 3/9) = 2/9

Finally, subtract 1/6 from 2/9: (2/9 - 1/6)

To subtract fractions, find a common denominator, which in this case is 18: (4/18 - 3/18) = 1/18

3. (13/18 - 1/4) - 4/9:

First, simplify the fractions in the parentheses: (13/18 - 1/4) = (13/18 - 4/18)

Now, subtract the fractions: (13/18 - 4/18) = 9/18

Reduce the fraction: 9/18 = 1/2

Finally, subtract 4/9 from 1/2: (1/2 - 4/9)

To subtract fractions, find a common denominator, which in this case is 18: (9/18 - 8/18) = 1/18

4. (3/4 - 5/12) - 1/5:

First, simplify the fractions in the parentheses: (3/4 - 5/12) = (9/12 - 5/12)

Now, subtract the fractions: (9/12 - 5/12) = 4/12

Reduce the fraction: 4/12 = 1/3

Finally, subtract 1/5 from 1/3: (1/3 - 1/5)

To subtract fractions, find a common denominator, which in this case is 15: (5/15 - 3/15) = 2/15

5. (7/10 - 2/15) - 1/6:

First, simplify the fractions in the parentheses: (7/10 - 2/15) = (21/30 - 4/30)

Now, subtract the fractions: (21/30 - 4/30) = 17/30

Finally, subtract 1/6 from 17/30: (17/30 - 5/30) = 12/30

Reduce the fraction: 12/30 = 2/5

6. (17/18 - 5/12) - 2/9:

First, simplify the fractions in the parentheses: (17/18 - 5/12) = (17/18 - 10/18)

Now, subtract the fractions: (17/18 - 10/18) = 7/18

Finally, subtract 2/9 from 7/18: (7/18 - 4/18) = 3/18

Reduce the fraction: 3/18 = 1/6