Simplify 42/80 to Lowest Terms
42/80 simplified to its lowest terms is 21/40 (or 0.525 in decimal). See how to reduce 42/80 using Greatest Common Divisor (GCD = 2).
Exact Answer
42/80 = 21/40
Simplified Fraction
21/40
Mixed Number
Proper (21/40)
Decimal Value
0.525
Percentage
52.5%
Step-by-Step Solution: 42/80 = 21/40
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 80:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 80:
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
GCD(42, 80) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (42) and denominator (80) by 2.
42 ÷ 2/80 ÷ 2 = 21/40
Visual Representation
The diagram below illustrates Simplify 42/80 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 21/40 |
| Mixed Number Form | 21/40 |
| Decimal Form | 0.525 |
| Percentage | 52.5% |
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Frequently Asked Questions
What is 42/80 in simplest form?
42/80 simplified to lowest terms is 21/40.
What is the GCD (GCF) of 42 and 80?
The Greatest Common Divisor (GCD) of 42 and 80 is 2.
What are equivalent fractions to 42/80?
Equivalent fractions to 42/80 include 42/80, 63/120, and 84/160.