Simplify 70/120 to Lowest Terms
70/120 simplified to its lowest terms is 7/12 (or 0.583333 in decimal). See how to reduce 70/120 using Greatest Common Divisor (GCD = 10).
Exact Answer
70/120 = 7/12
Simplified Fraction
7/12
Mixed Number
Proper (7/12)
Decimal Value
0.583333
Percentage
58.3333%
Step-by-Step Solution: 70/120 = 7/12
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 70:
• Factors of 120:
• Factors of 70:
1, 2, 5, 7, 10, 14, 35, 70• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(70, 120) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (70) and denominator (120) by 10.
70 ÷ 10/120 ÷ 10 = 7/12
Visual Representation
The diagram below illustrates Simplify 70/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/12 |
| Mixed Number Form | 7/12 |
| Decimal Form | 0.583333 |
| Percentage | 58.3333% |
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Frequently Asked Questions
What is 70/120 in simplest form?
70/120 simplified to lowest terms is 7/12.
What is the GCD (GCF) of 70 and 120?
The Greatest Common Divisor (GCD) of 70 and 120 is 10.
What are equivalent fractions to 70/120?
Equivalent fractions to 70/120 include 14/24, 21/36, and 28/48.