Simplify 84/106 to Lowest Terms
84/106 simplified to its lowest terms is 42/53 (or 0.792453 in decimal). See how to reduce 84/106 using Greatest Common Divisor (GCD = 2).
Exact Answer
84/106 = 42/53
Simplified Fraction
42/53
Mixed Number
Proper (42/53)
Decimal Value
0.792453
Percentage
79.2453%
Step-by-Step Solution: 84/106 = 42/53
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 84:
• Factors of 106:
• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84• Factors of 106:
1, 2, 53, 106
GCD(84, 106) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (84) and denominator (106) by 2.
84 ÷ 2/106 ÷ 2 = 42/53
Visual Representation
The diagram below illustrates Simplify 84/106 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 42/53 |
| Mixed Number Form | 42/53 |
| Decimal Form | 0.792453 |
| Percentage | 79.2453% |
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Frequently Asked Questions
What is 84/106 in simplest form?
84/106 simplified to lowest terms is 42/53.
What is the GCD (GCF) of 84 and 106?
The Greatest Common Divisor (GCD) of 84 and 106 is 2.
What are equivalent fractions to 84/106?
Equivalent fractions to 84/106 include 84/106, 126/159, and 168/212.