Simplify 42/84 to Lowest Terms
42/84 simplified to its lowest terms is 1/2 (or 0.5 in decimal). See how to reduce 42/84 using Greatest Common Divisor (GCD = 42).
Exact Answer
42/84 = 1/2
Simplified Fraction
1/2
Mixed Number
Proper (1/2)
Decimal Value
0.5
Percentage
50%
Step-by-Step Solution: 42/84 = 1/2
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 84:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCD(42, 84) = 42
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 42. Divide both the numerator (42) and denominator (84) by 42.
42 ÷ 42/84 ÷ 42 = 1/2
Visual Representation
The diagram below illustrates Simplify 42/84 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/2 |
| Mixed Number Form | 1/2 |
| Decimal Form | 0.5 |
| Percentage | 50% |
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Frequently Asked Questions
What is 42/84 in simplest form?
42/84 simplified to lowest terms is 1/2.
What is the GCD (GCF) of 42 and 84?
The Greatest Common Divisor (GCD) of 42 and 84 is 42.
What are equivalent fractions to 42/84?
Equivalent fractions to 42/84 include 2/4, 3/6, and 4/8.