Simplify 84/120 to Lowest Terms
84/120 simplified to its lowest terms is 7/10 (or 0.7 in decimal). See how to reduce 84/120 using Greatest Common Divisor (GCD = 12).
Exact Answer
84/120 = 7/10
Simplified Fraction
7/10
Mixed Number
Proper (7/10)
Decimal Value
0.7
Percentage
70%
Step-by-Step Solution: 84/120 = 7/10
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 84:
• Factors of 120:
• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(84, 120) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (84) and denominator (120) by 12.
84 ÷ 12/120 ÷ 12 = 7/10
Visual Representation
The diagram below illustrates Simplify 84/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/10 |
| Mixed Number Form | 7/10 |
| Decimal Form | 0.7 |
| Percentage | 70% |
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Frequently Asked Questions
What is 84/120 in simplest form?
84/120 simplified to lowest terms is 7/10.
What is the GCD (GCF) of 84 and 120?
The Greatest Common Divisor (GCD) of 84 and 120 is 12.
What are equivalent fractions to 84/120?
Equivalent fractions to 84/120 include 14/20, 21/30, and 28/40.