Simplify 42/100 to Lowest Terms
42/100 simplified to its lowest terms is 21/50 (or 0.42 in decimal). See how to reduce 42/100 using Greatest Common Divisor (GCD = 2).
Exact Answer
42/100 = 21/50
Simplified Fraction
21/50
Mixed Number
Proper (21/50)
Decimal Value
0.42
Percentage
42%
Step-by-Step Solution: 42/100 = 21/50
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 100:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 100:
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD(42, 100) = 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 (100) by 2.
42 ÷ 2/100 ÷ 2 = 21/50
Visual Representation
The diagram below illustrates Simplify 42/100 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 21/50 |
| Mixed Number Form | 21/50 |
| Decimal Form | 0.42 |
| Percentage | 42% |
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Frequently Asked Questions
What is 42/100 in simplest form?
42/100 simplified to lowest terms is 21/50.
What is the GCD (GCF) of 42 and 100?
The Greatest Common Divisor (GCD) of 42 and 100 is 2.
What are equivalent fractions to 42/100?
Equivalent fractions to 42/100 include 42/100, 63/150, and 84/200.