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## Basic Fraction Comparison - 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=1, Mode=den-v

Use >, <, or = to relate the two fractions.

1.
 24
 34
2.

 16
 56

### Complexity=1, Mode=num-v

Use >, <, or = to relate the two fractions.

1.

 13
 16
2.
 1/8 1/8

 1/4 1/4

 28
 24

### Complexity=1, Mode=same-v

Use >, <, or = to relate the two fractions.

1.
 28
 23
2.
 12
 22

### Complexity=1, Mode=same

Use >, <, or = to relate the two fractions.

1.
 16
 46
2.
 23
 13

### Complexity=1, Mode=den-v

Use >, <, or = to relate the two fractions.

1
 24
 34
Solution
When the denominators are the same, compare the numerators.
2 < 3
So,
 24
<
 34
2

 16
 56
Solution
When the denominators are the same, compare the numerators.
1 < 5
So,
 16
<
 56

### Complexity=1, Mode=num-v

Use >, <, or = to relate the two fractions.

1

 13
 16
Solution
When the numerators are the same, compare the denominators.
The smaller the number in the denominator, the larger each fractional part is. (see diagram)
This is because the whole is divided into fewer parts so each part is larger.
So,
 13
>
 16
2
 1/8 1/8

 1/4 1/4

 28
 24
Solution
When the numerators are the same, compare the denominators.
The smaller the number in the denominator, the larger each fractional part is. (see diagram)
This is because the whole is divided into fewer parts so each part is larger.
1/8 < 1/4
So,
 28
<
 24

### Complexity=1, Mode=same-v

Use >, <, or = to relate the two fractions.

1
 28
 23
Solution
When the numerators are the same, compare the denominators.
The smaller the number in the denominator, the larger each fractional part is. (see diagram)
This is because the whole is divided into fewer parts so each part is larger.
1/8 < 1/3
So,
 28
<
 23
2
 12
 22
Solution
When the denominators are the same, compare the numerators.
1 < 2
So,
 12
<
 22

### Complexity=1, Mode=same

Use >, <, or = to relate the two fractions.

1
 16
 46
Solution
When the denominators are the same, compare the numerators.
1 < 4
So,
 16
<
 46
2
 23
 13
Solution
When the denominators are the same, compare the numerators.
2 > 1
So,
 23
>
 13