What is 2/4 minus 3/4?
2/4 minus 3/4 equals -1/4 (or -0.25 in decimal form). Learn the step-by-step solution to subtract 2/4 and 3/4 using Least Common Denominator and simplification.
Exact Answer
2/4 − 3/4 = -1/4
Simplified Fraction
-1/4
Mixed Number
Proper (-1/4)
Decimal Value
-0.25
Percentage
-25%
Step-by-Step Solution: 2/4 − 3/4
Step 1
Check the Denominators (Like Fractions)
Both fractions already share the identical denominator (4). Because these are like fractions, no conversion to a common denominator is required—we directly subtract their numerators while keeping the denominator 4.
2/4 − 3/4
Step 2
Subtract the Numerators
Now subtract the numerators (2 − 3 = -1) and keep the common denominator 4 unchanged.
2 − 3/4 = -1/4
Step 3
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 1 and 4 is 1, confirming that -1/4 cannot be reduced further—it is already in its simplest irreducible form.
-1/4
Step 4
Decimal & Percentage Representation
Dividing the numerator -1 by denominator 4 yields an exact terminating decimal of -0.25 (or -25%).
-1 ÷ 4 = -0.25 (-25%)
Visual Representation
The diagram below illustrates 2/4 minus 3/4 visually:
−
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | -1/4 |
| Mixed Number Form | -1/4 |
| Decimal Form | -0.25 |
| Percentage | -25% |
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Frequently Asked Questions
What is 2/4 minus 3/4 as a fraction?
2/4 − 3/4 in simplest fraction form is -1/4.
What is 2/4 minus 3/4 as a decimal?
2/4 − 3/4 converted to a decimal is -0.25.
What is 2/4 minus 3/4 as a percentage?
2/4 − 3/4 expressed as a percentage is -25%.
Does 2/4 minus 3/4 result in a terminating or repeating decimal?
It results in an exact terminating decimal (-0.25) because the denominator in simplest terms contains only prime factors 2 and/or 5.