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Basic Fraction Addition - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=4, Mode=same-den

Add each pair of fractions and simplify the result.

1.
 34
+
 14
2.
 13
+
 23

Complexity=5, Mode=same-den

Add each pair of fractions and simplify the result.

1.
 45
+
 15
2.
 24
+
 24

Complexity=7, Mode=same-den

Add each pair of fractions and simplify the result.

1.
 57
+
 27
2.
 25
+
 25

Complexity=9, Mode=same-den

Add each pair of fractions and simplify the result.

1.
 23
+
 13
2.
 17
+
 47

Complexity=12, Mode=same-den

Add each pair of fractions and simplify the result.

1.
 19
+
 79
2.
 23
+
 13

Complexity=4, Mode=simple

Add each pair of fractions and simplify the result.

1.
 34
+
 22
2.
 12
+
 24

Complexity=6, Mode=simple

Add each pair of fractions and simplify the result.

1.
 34
+
 24
2.
 12
+
 45

Complexity=4, Mode=same-den

Add each pair of fractions and simplify the result.

1
 34
+
 14
Solution
 44
Now simplify to get this:
1
2
 13
+
 23
Solution
 33
Now simplify to get this:
1

Complexity=5, Mode=same-den

Add each pair of fractions and simplify the result.

1
 45
+
 15
Solution
 55
Now simplify to get this:
1
2
 24
+
 24
Solution
 44
Now simplify to get this:
1

Complexity=7, Mode=same-den

Add each pair of fractions and simplify the result.

1
 57
+
 27
Solution
 77
Now simplify to get this:
1
2
 25
+
 25
Solution
 45

Complexity=9, Mode=same-den

Add each pair of fractions and simplify the result.

1
 23
+
 13
Solution
 33
Now simplify to get this:
1
2
 17
+
 47
Solution
 57

Complexity=12, Mode=same-den

Add each pair of fractions and simplify the result.

1
 19
+
 79
Solution
 89
2
 23
+
 13
Solution
 33
Now simplify to get this:
1

Complexity=4, Mode=simple

Add each pair of fractions and simplify the result.

1
 34
+
 22
Solution
Simplify fractions
 34
+ 1
 1 34
2
 12
+
 24
Solution
Simplify fractions
 12
+
 12
 22
Now simplify to get this:
1

Complexity=6, Mode=simple

Add each pair of fractions and simplify the result.

1
 34
+
 24
Solution
 54
Now simplify to get this:
 1 14
2
 12
+
 45
Solution
The lowest common denominator (LCD) is 10
Adjust the denominators to get this:
 510
+
 810   