Rational Numbers Addition: Worksheets, Online Test and Calculators

Rational numbers addition worksheets, solved worksheet problems or exercises with step-by-step work, formative assessment as online test, calculator and more learning resources to learn, practice, assess and master the basic math skills of fraction.

Rational Numbers Addition
Name Grade School
Date Questions20 Score

1
-7/5 + -2/3 =
   
2
-3/7 + 2/3 =
   
3
-5/6 + -3/11 =
   
4
5/4 + -11/4 =
   
5
-5/3 + 3/5 =
   
6
-9/10 + 22/15 =
   
7
-3/-11 + 5/9 =
   
8
-8/19 + -2/57 =
   
9
-4 3/4 + 2 7/12 =
   
10
-2 1/3 + 4 3/5 =
   
11
-2/6 + -7/8 =
   
12
4/8 + -5/7 =
   
13
-3/4 + 3/9 =
   
14
3/7 + -7/10 =
   
15
-5/6 + -4/5 =
   
16
-5/6 + 6/8 =
   
17
6/7 + -3/4 =
   
18
-3/10 + -8/9 =
   
19
3/6 + -7/10 =
   
20
10/9 + -3/8 =
   

Solved Worksheet Problems
Show All Workout
1
-7/5 + -2/3 =
-31/15
Steps
-75
+
-23
Find the lcm for both denominators
LCM(5, 3) = 15
Make all the denominators equal to each other
-75
=
-7 x 155 x 15
=
-7 x 315
=
-2115
-23
=
-2 x 153 x 15
=
-2 x 515
=
-1015
-2115
+
-1015
=
-21 + -1015
=
-3115
-75
+
-23
=
-3115
2
-3/7 + 2/3 =
5/21
Steps
-37
+
23
Find the lcm for both denominators
LCM(7, 3) = 21
Make all the denominators equal to each other
-37
=
-3 x 217 x 21
=
-3 x 321
=
-921
23
=
2 x 213 x 21
=
2 x 721
=
1421
-921
+
1421
=
-9 + 1421
=
521
-37
+
23
=
521
3
-5/6 + -3/11 =
-73/66
Steps
-56
+
-311
Find the lcm for both denominators
LCM(6, 11) = 66
Make all the denominators equal to each other
-56
=
-5 x 666 x 66
=
-5 x 1166
=
-5566
-311
=
-3 x 6611 x 66
=
-3 x 666
=
-1866
-5566
+
-1866
=
-55 + -1866
=
-7366
-56
+
-311
=
-7366
4
5/4 + -11/4 =
-3/2
Steps
54
+
-114
Find the lcm for both denominators
LCM(4, 4) = 4
Make all the denominators equal to each other
54
=
5 x 44 x 4
=
5 x 14
=
54
-114
=
-11 x 44 x 4
=
-11 x 14
=
-114
54
+
-114
=
5 + -114
=
-64
simplify the fraction
GCF(6, 4) = -2
-64
=
-6 ÷ -24 ÷ -2
=
-32
54
+
-114
=
-32
5
-5/3 + 3/5 =
-16/15
Steps
-53
+
35
Find the lcm for both denominators
LCM(3, 5) = 15
Make all the denominators equal to each other
-53
=
-5 x 153 x 15
=
-5 x 515
=
-2515
35
=
3 x 155 x 15
=
3 x 315
=
915
-2515
+
915
=
-25 + 915
=
-1615
-53
+
35
=
-1615
6
-9/10 + 22/15 =
17/30
Steps
-910
+
2215
Find the lcm for both denominators
LCM(10, 15) = 30
Make all the denominators equal to each other
-910
=
-9 x 3010 x 30
=
-9 x 330
=
-2730
2215
=
22 x 3015 x 30
=
22 x 230
=
4430
-2730
+
4430
=
-27 + 4430
=
1730
-910
+
2215
=
1730
7
-3/-11 + 5/9 =
82/99
Steps
-3-11
+
59
Find the lcm for both denominators
LCM(-11, 9) = -99
Make all the denominators equal to each other
-3-11
=
-3 x -99-11 x -99
=
-3 x 9-99
=
-27-99
59
=
5 x -999 x -99
=
5 x -11-99
=
-55-99
-27-99
+
-55-99
=
-27 + -55-99
=
-82-99
simplify the fraction
GCF(82, -99) = -1
-82-99
=
-82 ÷ -1-99 ÷ -1
=
8299
-3-11
+
59
=
8299
8
-8/19 + -2/57 =
-26/57
Steps
-819
+
-257
Find the lcm for both denominators
LCM(19, 57) = 57
Make all the denominators equal to each other
-819
=
-8 x 5719 x 57
=
-8 x 357
=
-2457
-257
=
-2 x 5757 x 57
=
-2 x 157
=
-257
-2457
+
-257
=
-24 + -257
=
-2657
-819
+
-257
=
-2657
9
-4 3/4 + 2 7/12 =
-2/3
Steps
Convert the mixed fraction into fraction
-4
34
=
(-4 x 4) + 34
=
-16 + 34
=
-134
2
712
=
(2 x 12) + 712
=
24 + 712
=
3112
-134
+
3112
Find the lcm for both denominators
LCM(4, 12) = 12
Make all the denominators equal to each other
-134
=
-13 x 124 x 12
=
-13 x 312
=
-3912
3112
=
31 x 1212 x 12
=
31 x 112
=
3112
-3912
+
3112
=
-39 + 3112
=
-812
simplify the fraction
GCF(8, 12) = 4
-812
=
-8 ÷ 412 ÷ 4
=
-23
-4
34
+
2
712
=
-23
10
-2 1/3 + 4 3/5 =
44/15
Steps
Convert the mixed fraction into fraction
-2
13
=
(-2 x 3) + 13
=
-6 + 13
=
-53
4
35
=
(4 x 5) + 35
=
20 + 35
=
235
-53
+
235
Find the lcm for both denominators
LCM(3, 5) = 15
Make all the denominators equal to each other
-53
=
-5 x 153 x 15
=
-5 x 515
=
-2515
235
=
23 x 155 x 15
=
23 x 315
=
6915
-2515
+
6915
=
-25 + 6915
=
4415
-2
13
+
4
35
=
4415
11
-2/6 + -7/8 =
-29/24
Steps
-26
+
-78
Find the lcm for both denominators
LCM(6, 8) = 24
Make all the denominators equal to each other
-26
=
-2 x 246 x 24
=
-2 x 424
=
-824
-78
=
-7 x 248 x 24
=
-7 x 324
=
-2124
-824
+
-2124
=
-8 + -2124
=
-2924
-26
+
-78
=
-2924
12
4/8 + -5/7 =
-3/14
Steps
48
+
-57
Find the lcm for both denominators
LCM(8, 7) = 56
Make all the denominators equal to each other
48
=
4 x 568 x 56
=
4 x 756
=
2856
-57
=
-5 x 567 x 56
=
-5 x 856
=
-4056
2856
+
-4056
=
28 + -4056
=
-1256
simplify the fraction
GCF(12, 56) = -4
-1256
=
-12 ÷ -456 ÷ -4
=
-314
48
+
-57
=
-314
13
-3/4 + 3/9 =
-5/12
Steps
-34
+
39
Find the lcm for both denominators
LCM(4, 9) = 36
Make all the denominators equal to each other
-34
=
-3 x 364 x 36
=
-3 x 936
=
-2736
39
=
3 x 369 x 36
=
3 x 436
=
1236
-2736
+
1236
=
-27 + 1236
=
-1536
simplify the fraction
GCF(15, 36) = -3
-1536
=
-15 ÷ -336 ÷ -3
=
-512
-34
+
39
=
-512
14
3/7 + -7/10 =
-19/70
Steps
37
+
-710
Find the lcm for both denominators
LCM(7, 10) = 70
Make all the denominators equal to each other
37
=
3 x 707 x 70
=
3 x 1070
=
3070
-710
=
-7 x 7010 x 70
=
-7 x 770
=
-4970
3070
+
-4970
=
30 + -4970
=
-1970
37
+
-710
=
-1970
15
-5/6 + -4/5 =
-49/30
Steps
-56
+
-45
Find the lcm for both denominators
LCM(6, 5) = 30
Make all the denominators equal to each other
-56
=
-5 x 306 x 30
=
-5 x 530
=
-2530
-45
=
-4 x 305 x 30
=
-4 x 630
=
-2430
-2530
+
-2430
=
-25 + -2430
=
-4930
-56
+
-45
=
-4930
16
-5/6 + 6/8 =
-1/12
Steps
-56
+
68
Find the lcm for both denominators
LCM(6, 8) = 24
Make all the denominators equal to each other
-56
=
-5 x 246 x 24
=
-5 x 424
=
-2024
68
=
6 x 248 x 24
=
6 x 324
=
1824
-2024
+
1824
=
-20 + 1824
=
-224
simplify the fraction
GCF(2, 24) = -2
-224
=
-2 ÷ -224 ÷ -2
=
-112
-56
+
68
=
-112
17
6/7 + -3/4 =
3/28
Steps
67
+
-34
Find the lcm for both denominators
LCM(7, 4) = 28
Make all the denominators equal to each other
67
=
6 x 287 x 28
=
6 x 428
=
2428
-34
=
-3 x 284 x 28
=
-3 x 728
=
-2128
2428
+
-2128
=
24 + -2128
=
328
67
+
-34
=
328
18
-3/10 + -8/9 =
-107/90
Steps
-310
+
-89
Find the lcm for both denominators
LCM(10, 9) = 90
Make all the denominators equal to each other
-310
=
-3 x 9010 x 90
=
-3 x 990
=
-2790
-89
=
-8 x 909 x 90
=
-8 x 1090
=
-8090
-2790
+
-8090
=
-27 + -8090
=
-10790
-310
+
-89
=
-10790
19
3/6 + -7/10 =
-1/5
Steps
36
+
-710
Find the lcm for both denominators
LCM(6, 10) = 30
Make all the denominators equal to each other
36
=
3 x 306 x 30
=
3 x 530
=
1530
-710
=
-7 x 3010 x 30
=
-7 x 330
=
-2130
1530
+
-2130
=
15 + -2130
=
-630
simplify the fraction
GCF(6, 30) = -6
-630
=
-6 ÷ -630 ÷ -6
=
-15
36
+
-710
=
-15
20
10/9 + -3/8 =
53/72
Steps
109
+
-38
Find the lcm for both denominators
LCM(9, 8) = 72
Make all the denominators equal to each other
109
=
10 x 729 x 72
=
10 x 872
=
8072
-38
=
-3 x 728 x 72
=
-3 x 972
=
-2772
8072
+
-2772
=
80 + -2772
=
5372
109
+
-38
=
5372

Worksheet: Rational Numbers Addition

Rational numbers addition worksheet is the largest collection of practice problems and solved exercises which can be served as homework, classwork or assignment problems for the students to learn, practice, assess, iterate and master the skills of how to solve such fraction problems in basic mathematics.

Online Test
00:00
Start my Challenge
6/8 + 7/-6 = ?
-6/-5 + 10/1 = ?
-14/-9 + 7/3 = ?
-12/-13 + -5/8 = ?
7/10 + -15/9 = ?
7/-12 + 4/1 = ?
10/-1 + 6/3 = ?
-4/-7 + 4/-3 = ?
-5/9 + -10/3 = ?
-15/7 + -11/-15 = ?

Online Test: Rational Numbers Addition

This online test to find the rational numbers addition is a formative assessment which can be used as homework, classwork or assignment problems to assess and improve the learner's math skills on fraction.

Fraction Calculator

Input 1
Operation
Input 2
5/3 -8/5 = 1/15
show workout

Work with steps - Fraction Subtraction

Question:
5/3 - 8/5 = ?
Answer:
53
-
85
Find the lcm for both denominators
lcm_tools(3, 5) = 15
Make all the denominators equal to each other
53
=
5 x 153 x 15
=
5 x 515
=
2515
85
=
8 x 155 x 15
=
8 x 315
=
2415
2515
-
2415
=
25 - 2415
=
115
53
-
85
=
1/15


Fraction calculator is a key tool for users to generate step-by-step work to quickly understand the calculation, solve the homework problems, solve the classwork problems, prepare the answer key document for summative and formative assessments or immediately verify the entire calculation for the user supplied input values.