Simplify 1048/1152 to Lowest Terms
1048/1152 simplified to its lowest terms is 131/144 (or 0.909722 in decimal). See how to reduce 1048/1152 using Greatest Common Divisor (GCD = 8).
Exact Answer
1048/1152 = 131/144
Simplified Fraction
131/144
Mixed Number
Proper (131/144)
Decimal Value
0.909722
Percentage
90.9722%
Step-by-Step Solution: 1048/1152 = 131/144
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1048:
• Factors of 1152:
• Factors of 1048:
1, 2, 4, 8, 131, 262, 524, 1048• Factors of 1152:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72
GCD(1048, 1152) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1048) and denominator (1152) by 8.
1048 ÷ 8/1152 ÷ 8 = 131/144
Visual Representation
The diagram below illustrates Simplify 1048/1152 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 131/144 |
| Mixed Number Form | 131/144 |
| Decimal Form | 0.909722 |
| Percentage | 90.9722% |
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Frequently Asked Questions
What is 1048/1152 in simplest form?
1048/1152 simplified to lowest terms is 131/144.
What is the GCD (GCF) of 1048 and 1152?
The Greatest Common Divisor (GCD) of 1048 and 1152 is 8.
What are equivalent fractions to 1048/1152?
Equivalent fractions to 1048/1152 include 262/288, 393/432, and 524/576.