Simplify 140/288 to Lowest Terms
140/288 simplified to its lowest terms is 35/72 (or 0.486111 in decimal). See how to reduce 140/288 using Greatest Common Divisor (GCD = 4).
Exact Answer
140/288 = 35/72
Simplified Fraction
35/72
Mixed Number
Proper (35/72)
Decimal Value
0.486111
Percentage
48.6111%
Step-by-Step Solution: 140/288 = 35/72
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 140:
• Factors of 288:
• Factors of 140:
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
GCD(140, 288) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (140) and denominator (288) by 4.
140 ÷ 4/288 ÷ 4 = 35/72
Visual Representation
The diagram below illustrates Simplify 140/288 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 35/72 |
| Mixed Number Form | 35/72 |
| Decimal Form | 0.486111 |
| Percentage | 48.6111% |
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Frequently Asked Questions
What is 140/288 in simplest form?
140/288 simplified to lowest terms is 35/72.
What is the GCD (GCF) of 140 and 288?
The Greatest Common Divisor (GCD) of 140 and 288 is 4.
What are equivalent fractions to 140/288?
Equivalent fractions to 140/288 include 70/144, 105/216, and 140/288.