Simplify 688/1152 to Lowest Terms
688/1152 simplified to its lowest terms is 43/72 (or 0.597222 in decimal). See how to reduce 688/1152 using Greatest Common Divisor (GCD = 16).
Exact Answer
688/1152 = 43/72
Simplified Fraction
43/72
Mixed Number
Proper (43/72)
Decimal Value
0.597222
Percentage
59.7222%
Step-by-Step Solution: 688/1152 = 43/72
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 688:
• Factors of 1152:
• Factors of 688:
1, 2, 4, 8, 16, 43, 86, 172, 344, 688• Factors of 1152:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72
GCD(688, 1152) = 16
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 16. Divide both the numerator (688) and denominator (1152) by 16.
688 ÷ 16/1152 ÷ 16 = 43/72
Visual Representation
The diagram below illustrates Simplify 688/1152 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 43/72 |
| Mixed Number Form | 43/72 |
| Decimal Form | 0.597222 |
| Percentage | 59.7222% |
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Frequently Asked Questions
What is 688/1152 in simplest form?
688/1152 simplified to lowest terms is 43/72.
What is the GCD (GCF) of 688 and 1152?
The Greatest Common Divisor (GCD) of 688 and 1152 is 16.
What are equivalent fractions to 688/1152?
Equivalent fractions to 688/1152 include 86/144, 129/216, and 172/288.