Simplify 70/240 to Lowest Terms
70/240 simplified to its lowest terms is 7/24 (or 0.291667 in decimal). See how to reduce 70/240 using Greatest Common Divisor (GCD = 10).
Exact Answer
70/240 = 7/24
Simplified Fraction
7/24
Mixed Number
Proper (7/24)
Decimal Value
0.291667
Percentage
29.1667%
Step-by-Step Solution: 70/240 = 7/24
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 70:
• Factors of 240:
• Factors of 70:
1, 2, 5, 7, 10, 14, 35, 70• Factors of 240:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48
GCD(70, 240) = 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 (240) by 10.
70 ÷ 10/240 ÷ 10 = 7/24
Visual Representation
The diagram below illustrates Simplify 70/240 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/24 |
| Mixed Number Form | 7/24 |
| Decimal Form | 0.291667 |
| Percentage | 29.1667% |
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Frequently Asked Questions
What is 70/240 in simplest form?
70/240 simplified to lowest terms is 7/24.
What is the GCD (GCF) of 70 and 240?
The Greatest Common Divisor (GCD) of 70 and 240 is 10.
What are equivalent fractions to 70/240?
Equivalent fractions to 70/240 include 14/48, 21/72, and 28/96.