Simplify 84/160 to Lowest Terms
84/160 simplified to its lowest terms is 21/40 (or 0.525 in decimal). See how to reduce 84/160 using Greatest Common Divisor (GCD = 4).
Exact Answer
84/160 = 21/40
Simplified Fraction
21/40
Mixed Number
Proper (21/40)
Decimal Value
0.525
Percentage
52.5%
Step-by-Step Solution: 84/160 = 21/40
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 84:
• Factors of 160:
• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84• Factors of 160:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD(84, 160) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (84) and denominator (160) by 4.
84 ÷ 4/160 ÷ 4 = 21/40
Visual Representation
The diagram below illustrates Simplify 84/160 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 84/160 in simplest form?
84/160 simplified to lowest terms is 21/40.
What is the GCD (GCF) of 84 and 160?
The Greatest Common Divisor (GCD) of 84 and 160 is 4.
What are equivalent fractions to 84/160?
Equivalent fractions to 84/160 include 42/80, 63/120, and 84/160.